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Finding the Third Proportional to 266,960,957 and 413,143,316

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Solution

The third proportional to 266,960,957 and 413,143,316 is: 639,372,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,960,957 : 413,143,316 = 413,143,316 : x
  2. Step 2: Convert to fraction form
    266,960,957/413,143,316 = 413,143,316/x
  3. Step 3: Cross multiply
    266,960,957x = 413,143,316 × 413,143,316
  4. Step 4: Simplify right side
    266,960,957x = 170,687,399,555,475,840
  5. Step 5: Solve for x
    x = 170,687,399,555,475,840/266,960,957
  6. Step 6: Final answer
    x = 639,372,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.