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Finding the Third Proportional to 55,421 and 81,188

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Solution

The third proportional to 55,421 and 81,188 is: 118,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421 : 81,188 = 81,188 : x
  2. Step 2: Convert to fraction form
    55,421/81,188 = 81,188/x
  3. Step 3: Cross multiply
    55,421x = 81,188 × 81,188
  4. Step 4: Simplify right side
    55,421x = 6,591,491,344
  5. Step 5: Solve for x
    x = 6,591,491,344/55,421
  6. Step 6: Final answer
    x = 118,934.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.