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Finding the Third Proportional to 723.38 and 1,561.39

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Solution

The third proportional to 723.38 and 1,561.39 is: 3,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.38 : 1,561.39 = 1,561.39 : x
  2. Step 2: Convert to fraction form
    723.38/1,561.39 = 1,561.39/x
  3. Step 3: Cross multiply
    723.38x = 1,561.39 × 1,561.39
  4. Step 4: Simplify right side
    723.38x = 2,437,952.88
  5. Step 5: Solve for x
    x = 2,437,952.88/723.38
  6. Step 6: Final answer
    x = 3,370.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.