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Finding the Third Proportional to 57,402 and 86,161

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Solution

The third proportional to 57,402 and 86,161 is: 129,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 86,161 = 86,161 : x
  2. Step 2: Convert to fraction form
    57,402/86,161 = 86,161/x
  3. Step 3: Cross multiply
    57,402x = 86,161 × 86,161
  4. Step 4: Simplify right side
    57,402x = 7,423,717,921
  5. Step 5: Solve for x
    x = 7,423,717,921/57,402
  6. Step 6: Final answer
    x = 129,328.56

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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.