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Finding the Third Proportional to 169,909.88 and 269,930.81

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Solution

The third proportional to 169,909.88 and 269,930.81 is: 428,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,909.88 : 269,930.81 = 269,930.81 : x
  2. Step 2: Convert to fraction form
    169,909.88/269,930.81 = 269,930.81/x
  3. Step 3: Cross multiply
    169,909.88x = 269,930.81 × 269,930.81
  4. Step 4: Simplify right side
    169,909.88x = 72,862,643,536.91
  5. Step 5: Solve for x
    x = 72,862,643,536.91/169,909.88
  6. Step 6: Final answer
    x = 428,831.13

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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.