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Finding the Third Proportional to 132,720 and 291,684

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Solution

The third proportional to 132,720 and 291,684 is: 641,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,720 : 291,684 = 291,684 : x
  2. Step 2: Convert to fraction form
    132,720/291,684 = 291,684/x
  3. Step 3: Cross multiply
    132,720x = 291,684 × 291,684
  4. Step 4: Simplify right side
    132,720x = 85,079,555,856
  5. Step 5: Solve for x
    x = 85,079,555,856/132,720
  6. Step 6: Final answer
    x = 641,045.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.