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Finding the Third Proportional to 187,436 and 413,272

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Solution

The third proportional to 187,436 and 413,272 is: 911,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,436 : 413,272 = 413,272 : x
  2. Step 2: Convert to fraction form
    187,436/413,272 = 413,272/x
  3. Step 3: Cross multiply
    187,436x = 413,272 × 413,272
  4. Step 4: Simplify right side
    187,436x = 170,793,745,984
  5. Step 5: Solve for x
    x = 170,793,745,984/187,436
  6. Step 6: Final answer
    x = 911,211.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.