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Finding the Third Proportional to 141,343.31 and 218,576.81

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Solution

The third proportional to 141,343.31 and 218,576.81 is: 338,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,343.31 : 218,576.81 = 218,576.81 : x
  2. Step 2: Convert to fraction form
    141,343.31/218,576.81 = 218,576.81/x
  3. Step 3: Cross multiply
    141,343.31x = 218,576.81 × 218,576.81
  4. Step 4: Simplify right side
    141,343.31x = 47,775,822,962.66
  5. Step 5: Solve for x
    x = 47,775,822,962.66/141,343.31
  6. Step 6: Final answer
    x = 338,012.62

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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.