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Finding the Third Proportional to 42,561 and 63,733

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Solution

The third proportional to 42,561 and 63,733 is: 95,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561 : 63,733 = 63,733 : x
  2. Step 2: Convert to fraction form
    42,561/63,733 = 63,733/x
  3. Step 3: Cross multiply
    42,561x = 63,733 × 63,733
  4. Step 4: Simplify right side
    42,561x = 4,061,895,289
  5. Step 5: Solve for x
    x = 4,061,895,289/42,561
  6. Step 6: Final answer
    x = 95,437.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.