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Finding the Third Proportional to 728.81 and 1,158.94

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Solution

The third proportional to 728.81 and 1,158.94 is: 1,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.81 : 1,158.94 = 1,158.94 : x
  2. Step 2: Convert to fraction form
    728.81/1,158.94 = 1,158.94/x
  3. Step 3: Cross multiply
    728.81x = 1,158.94 × 1,158.94
  4. Step 4: Simplify right side
    728.81x = 1,343,136.13
  5. Step 5: Solve for x
    x = 1,343,136.13/728.81
  6. Step 6: Final answer
    x = 1,842.91

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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.