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Finding the Third Proportional to 728.58 and 1,588.78

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Solution

The third proportional to 728.58 and 1,588.78 is: 3,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.58 : 1,588.78 = 1,588.78 : x
  2. Step 2: Convert to fraction form
    728.58/1,588.78 = 1,588.78/x
  3. Step 3: Cross multiply
    728.58x = 1,588.78 × 1,588.78
  4. Step 4: Simplify right side
    728.58x = 2,524,225.86
  5. Step 5: Solve for x
    x = 2,524,225.86/728.58
  6. Step 6: Final answer
    x = 3,464.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.