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Finding the Third Proportional to 678.52 and 1,479.80

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Solution

The third proportional to 678.52 and 1,479.80 is: 3,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.52 : 1,479.80 = 1,479.80 : x
  2. Step 2: Convert to fraction form
    678.52/1,479.80 = 1,479.80/x
  3. Step 3: Cross multiply
    678.52x = 1,479.80 × 1,479.80
  4. Step 4: Simplify right side
    678.52x = 2,189,798.79
  5. Step 5: Solve for x
    x = 2,189,798.79/678.52
  6. Step 6: Final answer
    x = 3,227.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.