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Finding the Third Proportional to 680.25 and 780.75

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Solution

The third proportional to 680.25 and 780.75 is: 896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 780.75 = 780.75 : x
  2. Step 2: Convert to fraction form
    680.25/780.75 = 780.75/x
  3. Step 3: Cross multiply
    680.25x = 780.75 × 780.75
  4. Step 4: Simplify right side
    680.25x = 609,570.56
  5. Step 5: Solve for x
    x = 609,570.56/680.25
  6. Step 6: Final answer
    x = 896.10

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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.