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Finding the Third Proportional to 42,842 and 63,879

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Solution

The third proportional to 42,842 and 63,879 is: 95,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842 : 63,879 = 63,879 : x
  2. Step 2: Convert to fraction form
    42,842/63,879 = 63,879/x
  3. Step 3: Cross multiply
    42,842x = 63,879 × 63,879
  4. Step 4: Simplify right side
    42,842x = 4,080,526,641
  5. Step 5: Solve for x
    x = 4,080,526,641/42,842
  6. Step 6: Final answer
    x = 95,245.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.