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Finding the Third Proportional to 63,546 and 137,554

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Solution

The third proportional to 63,546 and 137,554 is: 297,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546 : 137,554 = 137,554 : x
  2. Step 2: Convert to fraction form
    63,546/137,554 = 137,554/x
  3. Step 3: Cross multiply
    63,546x = 137,554 × 137,554
  4. Step 4: Simplify right side
    63,546x = 18,921,102,916
  5. Step 5: Solve for x
    x = 18,921,102,916/63,546
  6. Step 6: Final answer
    x = 297,754.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.