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Finding the Third Proportional to 57,438 and 86,703

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Solution

The third proportional to 57,438 and 86,703 is: 130,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438 : 86,703 = 86,703 : x
  2. Step 2: Convert to fraction form
    57,438/86,703 = 86,703/x
  3. Step 3: Cross multiply
    57,438x = 86,703 × 86,703
  4. Step 4: Simplify right side
    57,438x = 7,517,410,209
  5. Step 5: Solve for x
    x = 7,517,410,209/57,438
  6. Step 6: Final answer
    x = 130,878.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.