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Finding the Third Proportional to 671.20 and 1,470.23

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Solution

The third proportional to 671.20 and 1,470.23 is: 3,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.20 : 1,470.23 = 1,470.23 : x
  2. Step 2: Convert to fraction form
    671.20/1,470.23 = 1,470.23/x
  3. Step 3: Cross multiply
    671.20x = 1,470.23 × 1,470.23
  4. Step 4: Simplify right side
    671.20x = 2,161,589.12
  5. Step 5: Solve for x
    x = 2,161,589.12/671.20
  6. Step 6: Final answer
    x = 3,220.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.