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Finding the Third Proportional to 42,583 and 87,899

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Solution

The third proportional to 42,583 and 87,899 is: 181,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,583 : 87,899 = 87,899 : x
  2. Step 2: Convert to fraction form
    42,583/87,899 = 87,899/x
  3. Step 3: Cross multiply
    42,583x = 87,899 × 87,899
  4. Step 4: Simplify right side
    42,583x = 7,726,234,201
  5. Step 5: Solve for x
    x = 7,726,234,201/42,583
  6. Step 6: Final answer
    x = 181,439.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.