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Finding the Third Proportional to 75,681 and 178,399.97

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Solution

The third proportional to 75,681 and 178,399.97 is: 420,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,681 : 178,399.97 = 178,399.97 : x
  2. Step 2: Convert to fraction form
    75,681/178,399.97 = 178,399.97/x
  3. Step 3: Cross multiply
    75,681x = 178,399.97 × 178,399.97
  4. Step 4: Simplify right side
    75,681x = 31,826,548,850.00
  5. Step 5: Solve for x
    x = 31,826,548,850.00/75,681
  6. Step 6: Final answer
    x = 420,535.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.