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Finding the Third Proportional to 42,378 and 91,418

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Solution

The third proportional to 42,378 and 91,418 is: 197,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,378 : 91,418 = 91,418 : x
  2. Step 2: Convert to fraction form
    42,378/91,418 = 91,418/x
  3. Step 3: Cross multiply
    42,378x = 91,418 × 91,418
  4. Step 4: Simplify right side
    42,378x = 8,357,250,724
  5. Step 5: Solve for x
    x = 8,357,250,724/42,378
  6. Step 6: Final answer
    x = 197,207.29

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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.