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Finding the Third Proportional to 847.97 and 1,298.95

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Solution

The third proportional to 847.97 and 1,298.95 is: 1,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,298.95 = 1,298.95 : x
  2. Step 2: Convert to fraction form
    847.97/1,298.95 = 1,298.95/x
  3. Step 3: Cross multiply
    847.97x = 1,298.95 × 1,298.95
  4. Step 4: Simplify right side
    847.97x = 1,687,279.22
  5. Step 5: Solve for x
    x = 1,687,279.22/847.97
  6. Step 6: Final answer
    x = 1,989.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.