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Finding the Third Proportional to 140,955.19 and 218,593.69

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Solution

The third proportional to 140,955.19 and 218,593.69 is: 338,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,955.19 : 218,593.69 = 218,593.69 : x
  2. Step 2: Convert to fraction form
    140,955.19/218,593.69 = 218,593.69/x
  3. Step 3: Cross multiply
    140,955.19x = 218,593.69 × 218,593.69
  4. Step 4: Simplify right side
    140,955.19x = 47,783,200,214.85
  5. Step 5: Solve for x
    x = 47,783,200,214.85/140,955.19
  6. Step 6: Final answer
    x = 338,995.68

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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.