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Finding the Third Proportional to 635.34 and 981.91

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Solution

The third proportional to 635.34 and 981.91 is: 1,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 981.91 = 981.91 : x
  2. Step 2: Convert to fraction form
    635.34/981.91 = 981.91/x
  3. Step 3: Cross multiply
    635.34x = 981.91 × 981.91
  4. Step 4: Simplify right side
    635.34x = 964,155.23
  5. Step 5: Solve for x
    x = 964,155.23/635.34
  6. Step 6: Final answer
    x = 1,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.