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Finding the Third Proportional to 438,431 and 942,131

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Solution

The third proportional to 438,431 and 942,131 is: 2,024,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,431 : 942,131 = 942,131 : x
  2. Step 2: Convert to fraction form
    438,431/942,131 = 942,131/x
  3. Step 3: Cross multiply
    438,431x = 942,131 × 942,131
  4. Step 4: Simplify right side
    438,431x = 887,610,821,161
  5. Step 5: Solve for x
    x = 887,610,821,161/438,431
  6. Step 6: Final answer
    x = 2,024,516.56

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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.