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Finding the Third Proportional to 624.66 and 1,270.78

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Solution

The third proportional to 624.66 and 1,270.78 is: 2,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.66 : 1,270.78 = 1,270.78 : x
  2. Step 2: Convert to fraction form
    624.66/1,270.78 = 1,270.78/x
  3. Step 3: Cross multiply
    624.66x = 1,270.78 × 1,270.78
  4. Step 4: Simplify right side
    624.66x = 1,614,884.99
  5. Step 5: Solve for x
    x = 1,614,884.99/624.66
  6. Step 6: Final answer
    x = 2,585.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.