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Finding the Third Proportional to 721.97 and 1,564.59

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Solution

The third proportional to 721.97 and 1,564.59 is: 3,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.97 : 1,564.59 = 1,564.59 : x
  2. Step 2: Convert to fraction form
    721.97/1,564.59 = 1,564.59/x
  3. Step 3: Cross multiply
    721.97x = 1,564.59 × 1,564.59
  4. Step 4: Simplify right side
    721.97x = 2,447,953.60
  5. Step 5: Solve for x
    x = 2,447,953.60/721.97
  6. Step 6: Final answer
    x = 3,390.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.