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Finding the Third Proportional to 62,782 and 93,086

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Solution

The third proportional to 62,782 and 93,086 is: 138,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782 : 93,086 = 93,086 : x
  2. Step 2: Convert to fraction form
    62,782/93,086 = 93,086/x
  3. Step 3: Cross multiply
    62,782x = 93,086 × 93,086
  4. Step 4: Simplify right side
    62,782x = 8,665,003,396
  5. Step 5: Solve for x
    x = 8,665,003,396/62,782
  6. Step 6: Final answer
    x = 138,017.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.