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Finding the Third Proportional to 717.13 and 1,089.94

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Solution

The third proportional to 717.13 and 1,089.94 is: 1,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.13 : 1,089.94 = 1,089.94 : x
  2. Step 2: Convert to fraction form
    717.13/1,089.94 = 1,089.94/x
  3. Step 3: Cross multiply
    717.13x = 1,089.94 × 1,089.94
  4. Step 4: Simplify right side
    717.13x = 1,187,963.75
  5. Step 5: Solve for x
    x = 1,187,963.75/717.13
  6. Step 6: Final answer
    x = 1,656.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.