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Finding the Third Proportional to 257,813,554 and 408,908,301

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Solution

The third proportional to 257,813,554 and 408,908,301 is: 648,553,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,813,554 : 408,908,301 = 408,908,301 : x
  2. Step 2: Convert to fraction form
    257,813,554/408,908,301 = 408,908,301/x
  3. Step 3: Cross multiply
    257,813,554x = 408,908,301 × 408,908,301
  4. Step 4: Simplify right side
    257,813,554x = 167,205,998,626,706,592
  5. Step 5: Solve for x
    x = 167,205,998,626,706,592/257,813,554
  6. Step 6: Final answer
    x = 648,553,949.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.