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Finding the Third Proportional to 709.13 and 771.56

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Solution

The third proportional to 709.13 and 771.56 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.13 : 771.56 = 771.56 : x
  2. Step 2: Convert to fraction form
    709.13/771.56 = 771.56/x
  3. Step 3: Cross multiply
    709.13x = 771.56 × 771.56
  4. Step 4: Simplify right side
    709.13x = 595,308.69
  5. Step 5: Solve for x
    x = 595,308.69/709.13
  6. Step 6: Final answer
    x = 839.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.