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Finding the Third Proportional to 756.13 and 972.19

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Solution

The third proportional to 756.13 and 972.19 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.13 : 972.19 = 972.19 : x
  2. Step 2: Convert to fraction form
    756.13/972.19 = 972.19/x
  3. Step 3: Cross multiply
    756.13x = 972.19 × 972.19
  4. Step 4: Simplify right side
    756.13x = 945,148.54
  5. Step 5: Solve for x
    x = 945,148.54/756.13
  6. Step 6: Final answer
    x = 1,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.