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Finding the Third Proportional to 709.69 and 978.19

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Solution

The third proportional to 709.69 and 978.19 is: 1,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 978.19 = 978.19 : x
  2. Step 2: Convert to fraction form
    709.69/978.19 = 978.19/x
  3. Step 3: Cross multiply
    709.69x = 978.19 × 978.19
  4. Step 4: Simplify right side
    709.69x = 956,850.79
  5. Step 5: Solve for x
    x = 956,850.79/709.69
  6. Step 6: Final answer
    x = 1,348.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.