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Finding the Third Proportional to 442.69 and 703.97

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Solution

The third proportional to 442.69 and 703.97 is: 1,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 703.97 = 703.97 : x
  2. Step 2: Convert to fraction form
    442.69/703.97 = 703.97/x
  3. Step 3: Cross multiply
    442.69x = 703.97 × 703.97
  4. Step 4: Simplify right side
    442.69x = 495,572.00
  5. Step 5: Solve for x
    x = 495,572.00/442.69
  6. Step 6: Final answer
    x = 1,119.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.