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Finding the Third Proportional to 81,631 and 119,650

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Solution

The third proportional to 81,631 and 119,650 is: 175,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,631 : 119,650 = 119,650 : x
  2. Step 2: Convert to fraction form
    81,631/119,650 = 119,650/x
  3. Step 3: Cross multiply
    81,631x = 119,650 × 119,650
  4. Step 4: Simplify right side
    81,631x = 14,316,122,500
  5. Step 5: Solve for x
    x = 14,316,122,500/81,631
  6. Step 6: Final answer
    x = 175,376.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.