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Finding the Third Proportional to 662.19 and 981.97

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Solution

The third proportional to 662.19 and 981.97 is: 1,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.19 : 981.97 = 981.97 : x
  2. Step 2: Convert to fraction form
    662.19/981.97 = 981.97/x
  3. Step 3: Cross multiply
    662.19x = 981.97 × 981.97
  4. Step 4: Simplify right side
    662.19x = 964,262.63
  5. Step 5: Solve for x
    x = 964,262.63/662.19
  6. Step 6: Final answer
    x = 1,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.