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Finding the Third Proportional to 45,120 and 63,080

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Solution

The third proportional to 45,120 and 63,080 is: 88,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,120 : 63,080 = 63,080 : x
  2. Step 2: Convert to fraction form
    45,120/63,080 = 63,080/x
  3. Step 3: Cross multiply
    45,120x = 63,080 × 63,080
  4. Step 4: Simplify right side
    45,120x = 3,979,086,400
  5. Step 5: Solve for x
    x = 3,979,086,400/45,120
  6. Step 6: Final answer
    x = 88,188.97

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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.