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Finding the Third Proportional to 640.41 and 1,357.59

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Solution

The third proportional to 640.41 and 1,357.59 is: 2,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.41 : 1,357.59 = 1,357.59 : x
  2. Step 2: Convert to fraction form
    640.41/1,357.59 = 1,357.59/x
  3. Step 3: Cross multiply
    640.41x = 1,357.59 × 1,357.59
  4. Step 4: Simplify right side
    640.41x = 1,843,060.79
  5. Step 5: Solve for x
    x = 1,843,060.79/640.41
  6. Step 6: Final answer
    x = 2,877.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.