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Finding the Third Proportional to 723.44 and 1,115.19

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Solution

The third proportional to 723.44 and 1,115.19 is: 1,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.44 : 1,115.19 = 1,115.19 : x
  2. Step 2: Convert to fraction form
    723.44/1,115.19 = 1,115.19/x
  3. Step 3: Cross multiply
    723.44x = 1,115.19 × 1,115.19
  4. Step 4: Simplify right side
    723.44x = 1,243,643.16
  5. Step 5: Solve for x
    x = 1,243,643.16/723.44
  6. Step 6: Final answer
    x = 1,719.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.