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Finding the Third Proportional to 661.92 and 886.04

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Solution

The third proportional to 661.92 and 886.04 is: 1,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 886.04 = 886.04 : x
  2. Step 2: Convert to fraction form
    661.92/886.04 = 886.04/x
  3. Step 3: Cross multiply
    661.92x = 886.04 × 886.04
  4. Step 4: Simplify right side
    661.92x = 785,072.14
  5. Step 5: Solve for x
    x = 785,072.14/661.92
  6. Step 6: Final answer
    x = 1,186.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.