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Finding the Third Proportional to 85,437 and 129,188

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Solution

The third proportional to 85,437 and 129,188 is: 195,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437 : 129,188 = 129,188 : x
  2. Step 2: Convert to fraction form
    85,437/129,188 = 129,188/x
  3. Step 3: Cross multiply
    85,437x = 129,188 × 129,188
  4. Step 4: Simplify right side
    85,437x = 16,689,539,344
  5. Step 5: Solve for x
    x = 16,689,539,344/85,437
  6. Step 6: Final answer
    x = 195,343.23

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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.