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Finding the Third Proportional to 132,980 and 199,496

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Solution

The third proportional to 132,980 and 199,496 is: 299,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,980 : 199,496 = 199,496 : x
  2. Step 2: Convert to fraction form
    132,980/199,496 = 199,496/x
  3. Step 3: Cross multiply
    132,980x = 199,496 × 199,496
  4. Step 4: Simplify right side
    132,980x = 39,798,654,016
  5. Step 5: Solve for x
    x = 39,798,654,016/132,980
  6. Step 6: Final answer
    x = 299,283.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.