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Finding the Third Proportional to 140,743.69 and 218,256.19

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Solution

The third proportional to 140,743.69 and 218,256.19 is: 338,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,743.69 : 218,256.19 = 218,256.19 : x
  2. Step 2: Convert to fraction form
    140,743.69/218,256.19 = 218,256.19/x
  3. Step 3: Cross multiply
    140,743.69x = 218,256.19 × 218,256.19
  4. Step 4: Simplify right side
    140,743.69x = 47,635,763,382.04
  5. Step 5: Solve for x
    x = 47,635,763,382.04/140,743.69
  6. Step 6: Final answer
    x = 338,457.55

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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.