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Finding the Third Proportional to 42,374 and 91,411

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Solution

The third proportional to 42,374 and 91,411 is: 197,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374 : 91,411 = 91,411 : x
  2. Step 2: Convert to fraction form
    42,374/91,411 = 91,411/x
  3. Step 3: Cross multiply
    42,374x = 91,411 × 91,411
  4. Step 4: Simplify right side
    42,374x = 8,355,970,921
  5. Step 5: Solve for x
    x = 8,355,970,921/42,374
  6. Step 6: Final answer
    x = 197,195.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.