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Finding the Third Proportional to 672.05 and 765.07

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Solution

The third proportional to 672.05 and 765.07 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 765.07 = 765.07 : x
  2. Step 2: Convert to fraction form
    672.05/765.07 = 765.07/x
  3. Step 3: Cross multiply
    672.05x = 765.07 × 765.07
  4. Step 4: Simplify right side
    672.05x = 585,332.58
  5. Step 5: Solve for x
    x = 585,332.58/672.05
  6. Step 6: Final answer
    x = 870.97

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.