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Finding the Third Proportional to 717.40 and 1,519.59

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Solution

The third proportional to 717.40 and 1,519.59 is: 3,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.40 : 1,519.59 = 1,519.59 : x
  2. Step 2: Convert to fraction form
    717.40/1,519.59 = 1,519.59/x
  3. Step 3: Cross multiply
    717.40x = 1,519.59 × 1,519.59
  4. Step 4: Simplify right side
    717.40x = 2,309,165.17
  5. Step 5: Solve for x
    x = 2,309,165.17/717.40
  6. Step 6: Final answer
    x = 3,218.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.