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Finding the Third Proportional to 187,428 and 413,256

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Solution

The third proportional to 187,428 and 413,256 is: 911,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,428 : 413,256 = 413,256 : x
  2. Step 2: Convert to fraction form
    187,428/413,256 = 413,256/x
  3. Step 3: Cross multiply
    187,428x = 413,256 × 413,256
  4. Step 4: Simplify right side
    187,428x = 170,780,521,536
  5. Step 5: Solve for x
    x = 170,780,521,536/187,428
  6. Step 6: Final answer
    x = 911,179.34

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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.