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Finding the Third Proportional to 688.92 and 1,470.23

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Solution

The third proportional to 688.92 and 1,470.23 is: 3,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.92 : 1,470.23 = 1,470.23 : x
  2. Step 2: Convert to fraction form
    688.92/1,470.23 = 1,470.23/x
  3. Step 3: Cross multiply
    688.92x = 1,470.23 × 1,470.23
  4. Step 4: Simplify right side
    688.92x = 2,161,589.12
  5. Step 5: Solve for x
    x = 2,161,589.12/688.92
  6. Step 6: Final answer
    x = 3,137.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.