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Finding the Third Proportional to 81,651 and 119,680

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Solution

The third proportional to 81,651 and 119,680 is: 175,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651 : 119,680 = 119,680 : x
  2. Step 2: Convert to fraction form
    81,651/119,680 = 119,680/x
  3. Step 3: Cross multiply
    81,651x = 119,680 × 119,680
  4. Step 4: Simplify right side
    81,651x = 14,323,302,400
  5. Step 5: Solve for x
    x = 14,323,302,400/81,651
  6. Step 6: Final answer
    x = 175,421.03

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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.