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Finding the Third Proportional to 616.78 and 706.78

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Solution

The third proportional to 616.78 and 706.78 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.78 : 706.78 = 706.78 : x
  2. Step 2: Convert to fraction form
    616.78/706.78 = 706.78/x
  3. Step 3: Cross multiply
    616.78x = 706.78 × 706.78
  4. Step 4: Simplify right side
    616.78x = 499,539.74
  5. Step 5: Solve for x
    x = 499,539.74/616.78
  6. Step 6: Final answer
    x = 809.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.