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Finding the Third Proportional to 42,115 and 63,675

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Solution

The third proportional to 42,115 and 63,675 is: 96,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,115 : 63,675 = 63,675 : x
  2. Step 2: Convert to fraction form
    42,115/63,675 = 63,675/x
  3. Step 3: Cross multiply
    42,115x = 63,675 × 63,675
  4. Step 4: Simplify right side
    42,115x = 4,054,505,625
  5. Step 5: Solve for x
    x = 4,054,505,625/42,115
  6. Step 6: Final answer
    x = 96,272.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.