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Finding the Third Proportional to 45,427 and 63,657

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Solution

The third proportional to 45,427 and 63,657 is: 89,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,427 : 63,657 = 63,657 : x
  2. Step 2: Convert to fraction form
    45,427/63,657 = 63,657/x
  3. Step 3: Cross multiply
    45,427x = 63,657 × 63,657
  4. Step 4: Simplify right side
    45,427x = 4,052,213,649
  5. Step 5: Solve for x
    x = 4,052,213,649/45,427
  6. Step 6: Final answer
    x = 89,202.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.