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Finding the Third Proportional to 42,228 and 61,347

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Solution

The third proportional to 42,228 and 61,347 is: 89,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228 : 61,347 = 61,347 : x
  2. Step 2: Convert to fraction form
    42,228/61,347 = 61,347/x
  3. Step 3: Cross multiply
    42,228x = 61,347 × 61,347
  4. Step 4: Simplify right side
    42,228x = 3,763,454,409
  5. Step 5: Solve for x
    x = 3,763,454,409/42,228
  6. Step 6: Final answer
    x = 89,122.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.