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Finding the Third Proportional to 640.13 and 1,062.56

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Solution

The third proportional to 640.13 and 1,062.56 is: 1,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 1,062.56 = 1,062.56 : x
  2. Step 2: Convert to fraction form
    640.13/1,062.56 = 1,062.56/x
  3. Step 3: Cross multiply
    640.13x = 1,062.56 × 1,062.56
  4. Step 4: Simplify right side
    640.13x = 1,129,039.07
  5. Step 5: Solve for x
    x = 1,129,039.07/640.13
  6. Step 6: Final answer
    x = 1,763.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.