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Finding the Third Proportional to 82,432 and 168,779

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Solution

The third proportional to 82,432 and 168,779 is: 345,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,432 : 168,779 = 168,779 : x
  2. Step 2: Convert to fraction form
    82,432/168,779 = 168,779/x
  3. Step 3: Cross multiply
    82,432x = 168,779 × 168,779
  4. Step 4: Simplify right side
    82,432x = 28,486,350,841
  5. Step 5: Solve for x
    x = 28,486,350,841/82,432
  6. Step 6: Final answer
    x = 345,573.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.