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Finding the Third Proportional to 169,890.75 and 269,902.13

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Solution

The third proportional to 169,890.75 and 269,902.13 is: 428,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,890.75 : 269,902.13 = 269,902.13 : x
  2. Step 2: Convert to fraction form
    169,890.75/269,902.13 = 269,902.13/x
  3. Step 3: Cross multiply
    169,890.75x = 269,902.13 × 269,902.13
  4. Step 4: Simplify right side
    169,890.75x = 72,847,157,079.52
  5. Step 5: Solve for x
    x = 72,847,157,079.52/169,890.75
  6. Step 6: Final answer
    x = 428,788.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.