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Finding the Third Proportional to 81,557 and 119,188

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Solution

The third proportional to 81,557 and 119,188 is: 174,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,557 : 119,188 = 119,188 : x
  2. Step 2: Convert to fraction form
    81,557/119,188 = 119,188/x
  3. Step 3: Cross multiply
    81,557x = 119,188 × 119,188
  4. Step 4: Simplify right side
    81,557x = 14,205,779,344
  5. Step 5: Solve for x
    x = 14,205,779,344/81,557
  6. Step 6: Final answer
    x = 174,182.22

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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.