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Finding the Third Proportional to 42,366 and 91,291

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Solution

The third proportional to 42,366 and 91,291 is: 196,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,366 : 91,291 = 91,291 : x
  2. Step 2: Convert to fraction form
    42,366/91,291 = 91,291/x
  3. Step 3: Cross multiply
    42,366x = 91,291 × 91,291
  4. Step 4: Simplify right side
    42,366x = 8,334,046,681
  5. Step 5: Solve for x
    x = 8,334,046,681/42,366
  6. Step 6: Final answer
    x = 196,715.45

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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.