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Finding the Third Proportional to 100,387.13 and 147,228.75

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Solution

The third proportional to 100,387.13 and 147,228.75 is: 215,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.13 : 147,228.75 = 147,228.75 : x
  2. Step 2: Convert to fraction form
    100,387.13/147,228.75 = 147,228.75/x
  3. Step 3: Cross multiply
    100,387.13x = 147,228.75 × 147,228.75
  4. Step 4: Simplify right side
    100,387.13x = 21,676,304,826.56
  5. Step 5: Solve for x
    x = 21,676,304,826.56/100,387.13
  6. Step 6: Final answer
    x = 215,927.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.