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Finding the Third Proportional to 625.85 and 805.78

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Solution

The third proportional to 625.85 and 805.78 is: 1,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.85 : 805.78 = 805.78 : x
  2. Step 2: Convert to fraction form
    625.85/805.78 = 805.78/x
  3. Step 3: Cross multiply
    625.85x = 805.78 × 805.78
  4. Step 4: Simplify right side
    625.85x = 649,283.42
  5. Step 5: Solve for x
    x = 649,283.42/625.85
  6. Step 6: Final answer
    x = 1,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.