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Finding the Third Proportional to 122,566 and 168,779

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Solution

The third proportional to 122,566 and 168,779 is: 232,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,566 : 168,779 = 168,779 : x
  2. Step 2: Convert to fraction form
    122,566/168,779 = 168,779/x
  3. Step 3: Cross multiply
    122,566x = 168,779 × 168,779
  4. Step 4: Simplify right side
    122,566x = 28,486,350,841
  5. Step 5: Solve for x
    x = 28,486,350,841/122,566
  6. Step 6: Final answer
    x = 232,416.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.