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Finding the Third Proportional to 870 and 999

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Solution

The third proportional to 870 and 999 is: 1,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 999 = 999 : x
  2. Step 2: Convert to fraction form
    870/999 = 999/x
  3. Step 3: Cross multiply
    870x = 999 × 999
  4. Step 4: Simplify right side
    870x = 998,001
  5. Step 5: Solve for x
    x = 998,001/870
  6. Step 6: Final answer
    x = 1,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.