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Finding the Third Proportional to 711.84 and 765.84

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Solution

The third proportional to 711.84 and 765.84 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 765.84 = 765.84 : x
  2. Step 2: Convert to fraction form
    711.84/765.84 = 765.84/x
  3. Step 3: Cross multiply
    711.84x = 765.84 × 765.84
  4. Step 4: Simplify right side
    711.84x = 586,516.65
  5. Step 5: Solve for x
    x = 586,516.65/711.84
  6. Step 6: Final answer
    x = 823.94

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.