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Finding the Third Proportional to 442.34 and 661.61

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Solution

The third proportional to 442.34 and 661.61 is: 989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 661.61 = 661.61 : x
  2. Step 2: Convert to fraction form
    442.34/661.61 = 661.61/x
  3. Step 3: Cross multiply
    442.34x = 661.61 × 661.61
  4. Step 4: Simplify right side
    442.34x = 437,721.80
  5. Step 5: Solve for x
    x = 437,721.80/442.34
  6. Step 6: Final answer
    x = 989.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.