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Finding the Third Proportional to 645.23 and 1,067.51

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Solution

The third proportional to 645.23 and 1,067.51 is: 1,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 1,067.51 = 1,067.51 : x
  2. Step 2: Convert to fraction form
    645.23/1,067.51 = 1,067.51/x
  3. Step 3: Cross multiply
    645.23x = 1,067.51 × 1,067.51
  4. Step 4: Simplify right side
    645.23x = 1,139,572.93
  5. Step 5: Solve for x
    x = 1,139,572.93/645.23
  6. Step 6: Final answer
    x = 1,766.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.