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Finding the Third Proportional to 57,016 and 85,776

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Solution

The third proportional to 57,016 and 85,776 is: 129,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016 : 85,776 = 85,776 : x
  2. Step 2: Convert to fraction form
    57,016/85,776 = 85,776/x
  3. Step 3: Cross multiply
    57,016x = 85,776 × 85,776
  4. Step 4: Simplify right side
    57,016x = 7,357,522,176
  5. Step 5: Solve for x
    x = 7,357,522,176/57,016
  6. Step 6: Final answer
    x = 129,043.11

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Why These Related Problems?

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