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Finding the Third Proportional to 438,823,440 and 913,967,112

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Solution

The third proportional to 438,823,440 and 913,967,112 is: 1,903,580,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,823,440 : 913,967,112 = 913,967,112 : x
  2. Step 2: Convert to fraction form
    438,823,440/913,967,112 = 913,967,112/x
  3. Step 3: Cross multiply
    438,823,440x = 913,967,112 × 913,967,112
  4. Step 4: Simplify right side
    438,823,440x = 835,335,881,817,620,480
  5. Step 5: Solve for x
    x = 835,335,881,817,620,480/438,823,440
  6. Step 6: Final answer
    x = 1,903,580,815.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.