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Finding the Third Proportional to 138,204.56 and 301,422.94

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Solution

The third proportional to 138,204.56 and 301,422.94 is: 657,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204.56 : 301,422.94 = 301,422.94 : x
  2. Step 2: Convert to fraction form
    138,204.56/301,422.94 = 301,422.94/x
  3. Step 3: Cross multiply
    138,204.56x = 301,422.94 × 301,422.94
  4. Step 4: Simplify right side
    138,204.56x = 90,855,787,251.13
  5. Step 5: Solve for x
    x = 90,855,787,251.13/138,204.56
  6. Step 6: Final answer
    x = 657,400.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.