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Finding the Third Proportional to 120,564 and 169,828

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Solution

The third proportional to 120,564 and 169,828 is: 239,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564 : 169,828 = 169,828 : x
  2. Step 2: Convert to fraction form
    120,564/169,828 = 169,828/x
  3. Step 3: Cross multiply
    120,564x = 169,828 × 169,828
  4. Step 4: Simplify right side
    120,564x = 28,841,549,584
  5. Step 5: Solve for x
    x = 28,841,549,584/120,564
  6. Step 6: Final answer
    x = 239,221.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.