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Finding the Third Proportional to 63,561 and 137,577

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Solution

The third proportional to 63,561 and 137,577 is: 297,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,561 : 137,577 = 137,577 : x
  2. Step 2: Convert to fraction form
    63,561/137,577 = 137,577/x
  3. Step 3: Cross multiply
    63,561x = 137,577 × 137,577
  4. Step 4: Simplify right side
    63,561x = 18,927,430,929
  5. Step 5: Solve for x
    x = 18,927,430,929/63,561
  6. Step 6: Final answer
    x = 297,783.72

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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.