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Finding the Third Proportional to 728.58 and 1,158.68

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Solution

The third proportional to 728.58 and 1,158.68 is: 1,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.58 : 1,158.68 = 1,158.68 : x
  2. Step 2: Convert to fraction form
    728.58/1,158.68 = 1,158.68/x
  3. Step 3: Cross multiply
    728.58x = 1,158.68 × 1,158.68
  4. Step 4: Simplify right side
    728.58x = 1,342,538.62
  5. Step 5: Solve for x
    x = 1,342,538.62/728.58
  6. Step 6: Final answer
    x = 1,842.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.