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Finding the Third Proportional to 728.02 and 1,157.84

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Solution

The third proportional to 728.02 and 1,157.84 is: 1,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.02 : 1,157.84 = 1,157.84 : x
  2. Step 2: Convert to fraction form
    728.02/1,157.84 = 1,157.84/x
  3. Step 3: Cross multiply
    728.02x = 1,157.84 × 1,157.84
  4. Step 4: Simplify right side
    728.02x = 1,340,584.06
  5. Step 5: Solve for x
    x = 1,340,584.06/728.02
  6. Step 6: Final answer
    x = 1,841.42

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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.