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Finding the Third Proportional to 42,555 and 91,427

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Solution

The third proportional to 42,555 and 91,427 is: 196,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,555 : 91,427 = 91,427 : x
  2. Step 2: Convert to fraction form
    42,555/91,427 = 91,427/x
  3. Step 3: Cross multiply
    42,555x = 91,427 × 91,427
  4. Step 4: Simplify right side
    42,555x = 8,358,896,329
  5. Step 5: Solve for x
    x = 8,358,896,329/42,555
  6. Step 6: Final answer
    x = 196,425.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.