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Finding the Third Proportional to 649.17 and 980.51

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Solution

The third proportional to 649.17 and 980.51 is: 1,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 980.51 = 980.51 : x
  2. Step 2: Convert to fraction form
    649.17/980.51 = 980.51/x
  3. Step 3: Cross multiply
    649.17x = 980.51 × 980.51
  4. Step 4: Simplify right side
    649.17x = 961,395.57
  5. Step 5: Solve for x
    x = 961,395.57/649.17
  6. Step 6: Final answer
    x = 1,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.