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Finding the Third Proportional to 661.92 and 989.30

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Solution

The third proportional to 661.92 and 989.30 is: 1,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 989.30 = 989.30 : x
  2. Step 2: Convert to fraction form
    661.92/989.30 = 989.30/x
  3. Step 3: Cross multiply
    661.92x = 989.30 × 989.30
  4. Step 4: Simplify right side
    661.92x = 978,708.31
  5. Step 5: Solve for x
    x = 978,708.31/661.92
  6. Step 6: Final answer
    x = 1,478.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.