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Finding the Third Proportional to 630.13 and 959.69

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Solution

The third proportional to 630.13 and 959.69 is: 1,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.13 : 959.69 = 959.69 : x
  2. Step 2: Convert to fraction form
    630.13/959.69 = 959.69/x
  3. Step 3: Cross multiply
    630.13x = 959.69 × 959.69
  4. Step 4: Simplify right side
    630.13x = 921,000.10
  5. Step 5: Solve for x
    x = 921,000.10/630.13
  6. Step 6: Final answer
    x = 1,461.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.