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Finding the Third Proportional to 187,011 and 413,397

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Solution

The third proportional to 187,011 and 413,397 is: 913,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,011 : 413,397 = 413,397 : x
  2. Step 2: Convert to fraction form
    187,011/413,397 = 413,397/x
  3. Step 3: Cross multiply
    187,011x = 413,397 × 413,397
  4. Step 4: Simplify right side
    187,011x = 170,897,079,609
  5. Step 5: Solve for x
    x = 170,897,079,609/187,011
  6. Step 6: Final answer
    x = 913,834.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.