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Finding the Third Proportional to 140,914.13 and 218,532.38

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Solution

The third proportional to 140,914.13 and 218,532.38 is: 338,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.13 : 218,532.38 = 218,532.38 : x
  2. Step 2: Convert to fraction form
    140,914.13/218,532.38 = 218,532.38/x
  3. Step 3: Cross multiply
    140,914.13x = 218,532.38 × 218,532.38
  4. Step 4: Simplify right side
    140,914.13x = 47,756,398,923.14
  5. Step 5: Solve for x
    x = 47,756,398,923.14/140,914.13
  6. Step 6: Final answer
    x = 338,904.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.