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Finding the Third Proportional to 640.27 and 1,000.27

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Solution

The third proportional to 640.27 and 1,000.27 is: 1,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.27 : 1,000.27 = 1,000.27 : x
  2. Step 2: Convert to fraction form
    640.27/1,000.27 = 1,000.27/x
  3. Step 3: Cross multiply
    640.27x = 1,000.27 × 1,000.27
  4. Step 4: Simplify right side
    640.27x = 1,000,531.32
  5. Step 5: Solve for x
    x = 1,000,531.32/640.27
  6. Step 6: Final answer
    x = 1,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.