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Finding the Third Proportional to 81,790 and 119,984

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Solution

The third proportional to 81,790 and 119,984 is: 176,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790 : 119,984 = 119,984 : x
  2. Step 2: Convert to fraction form
    81,790/119,984 = 119,984/x
  3. Step 3: Cross multiply
    81,790x = 119,984 × 119,984
  4. Step 4: Simplify right side
    81,790x = 14,396,160,256
  5. Step 5: Solve for x
    x = 14,396,160,256/81,790
  6. Step 6: Final answer
    x = 176,013.70

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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.