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Finding the Third Proportional to 672.19 and 1,039.78

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Solution

The third proportional to 672.19 and 1,039.78 is: 1,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.19 : 1,039.78 = 1,039.78 : x
  2. Step 2: Convert to fraction form
    672.19/1,039.78 = 1,039.78/x
  3. Step 3: Cross multiply
    672.19x = 1,039.78 × 1,039.78
  4. Step 4: Simplify right side
    672.19x = 1,081,145.05
  5. Step 5: Solve for x
    x = 1,081,145.05/672.19
  6. Step 6: Final answer
    x = 1,608.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.