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Finding the Third Proportional to 78,567 and 169,686

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Solution

The third proportional to 78,567 and 169,686 is: 366,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,567 : 169,686 = 169,686 : x
  2. Step 2: Convert to fraction form
    78,567/169,686 = 169,686/x
  3. Step 3: Cross multiply
    78,567x = 169,686 × 169,686
  4. Step 4: Simplify right side
    78,567x = 28,793,338,596
  5. Step 5: Solve for x
    x = 28,793,338,596/78,567
  6. Step 6: Final answer
    x = 366,481.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.