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Finding the Third Proportional to 630.76 and 868.54

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Solution

The third proportional to 630.76 and 868.54 is: 1,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 868.54 = 868.54 : x
  2. Step 2: Convert to fraction form
    630.76/868.54 = 868.54/x
  3. Step 3: Cross multiply
    630.76x = 868.54 × 868.54
  4. Step 4: Simplify right side
    630.76x = 754,353.32
  5. Step 5: Solve for x
    x = 754,353.32/630.76
  6. Step 6: Final answer
    x = 1,195.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.