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Finding the Third Proportional to 261,813,099.87 and 390,449,227.71

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Solution

The third proportional to 261,813,099.87 and 390,449,227.71 is: 582,287,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,813,099.87 : 390,449,227.71 = 390,449,227.71 : x
  2. Step 2: Convert to fraction form
    261,813,099.87/390,449,227.71 = 390,449,227.71/x
  3. Step 3: Cross multiply
    261,813,099.87x = 390,449,227.71 × 390,449,227.71
  4. Step 4: Simplify right side
    261,813,099.87x = 152,450,599,420,061,664
  5. Step 5: Solve for x
    x = 152,450,599,420,061,664/261,813,099.87
  6. Step 6: Final answer
    x = 582,287,897.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.