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Finding the Third Proportional to 257,813,551.50 and 408,908,298

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Solution

The third proportional to 257,813,551.50 and 408,908,298 is: 648,553,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,813,551.50 : 408,908,298 = 408,908,298 : x
  2. Step 2: Convert to fraction form
    257,813,551.50/408,908,298 = 408,908,298/x
  3. Step 3: Cross multiply
    257,813,551.50x = 408,908,298 × 408,908,298
  4. Step 4: Simplify right side
    257,813,551.50x = 167,205,996,173,256,800
  5. Step 5: Solve for x
    x = 167,205,996,173,256,800/257,813,551.50
  6. Step 6: Final answer
    x = 648,553,946.06

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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.