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Finding the Third Proportional to 57,715.50 and 86,343

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Solution

The third proportional to 57,715.50 and 86,343 is: 129,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.50 : 86,343 = 86,343 : x
  2. Step 2: Convert to fraction form
    57,715.50/86,343 = 86,343/x
  3. Step 3: Cross multiply
    57,715.50x = 86,343 × 86,343
  4. Step 4: Simplify right side
    57,715.50x = 7,455,113,649
  5. Step 5: Solve for x
    x = 7,455,113,649/57,715.50
  6. Step 6: Final answer
    x = 129,170.04

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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.