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Finding the Third Proportional to 438,272,666,956.50 and 942,503,863,230

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Solution

The third proportional to 438,272,666,956.50 and 942,503,863,230 is: 2,026,851,316,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,272,666,956.50 : 942,503,863,230 = 942,503,863,230 : x
  2. Step 2: Convert to fraction form
    438,272,666,956.50/942,503,863,230 = 942,503,863,230/x
  3. Step 3: Cross multiply
    438,272,666,956.50x = 942,503,863,230 × 942,503,863,230
  4. Step 4: Simplify right side
    438,272,666,956.50x = 888,313,532,203,474,599,542,784
  5. Step 5: Solve for x
    x = 888,313,532,203,474,599,542,784/438,272,666,956.50
  6. Step 6: Final answer
    x = 2,026,851,316,948.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.