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Finding the Third Proportional to 57,550 and 86,071

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Solution

The third proportional to 57,550 and 86,071 is: 128,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,550 : 86,071 = 86,071 : x
  2. Step 2: Convert to fraction form
    57,550/86,071 = 86,071/x
  3. Step 3: Cross multiply
    57,550x = 86,071 × 86,071
  4. Step 4: Simplify right side
    57,550x = 7,408,217,041
  5. Step 5: Solve for x
    x = 7,408,217,041/57,550
  6. Step 6: Final answer
    x = 128,726.62

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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.