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Finding the Third Proportional to 138,656.81 and 198,141.19

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Solution

The third proportional to 138,656.81 and 198,141.19 is: 283,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,656.81 : 198,141.19 = 198,141.19 : x
  2. Step 2: Convert to fraction form
    138,656.81/198,141.19 = 198,141.19/x
  3. Step 3: Cross multiply
    138,656.81x = 198,141.19 × 198,141.19
  4. Step 4: Simplify right side
    138,656.81x = 39,259,930,183.91
  5. Step 5: Solve for x
    x = 39,259,930,183.91/138,656.81
  6. Step 6: Final answer
    x = 283,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.