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Finding the Third Proportional to 720.88 and 1,262.13

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Solution

The third proportional to 720.88 and 1,262.13 is: 2,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.88 : 1,262.13 = 1,262.13 : x
  2. Step 2: Convert to fraction form
    720.88/1,262.13 = 1,262.13/x
  3. Step 3: Cross multiply
    720.88x = 1,262.13 × 1,262.13
  4. Step 4: Simplify right side
    720.88x = 1,592,959.52
  5. Step 5: Solve for x
    x = 1,592,959.52/720.88
  6. Step 6: Final answer
    x = 2,209.76

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.