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Finding the Third Proportional to 132,612 and 209,988

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Solution

The third proportional to 132,612 and 209,988 is: 332,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,612 : 209,988 = 209,988 : x
  2. Step 2: Convert to fraction form
    132,612/209,988 = 209,988/x
  3. Step 3: Cross multiply
    132,612x = 209,988 × 209,988
  4. Step 4: Simplify right side
    132,612x = 44,094,960,144
  5. Step 5: Solve for x
    x = 44,094,960,144/132,612
  6. Step 6: Final answer
    x = 332,511.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.