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Finding the Third Proportional to 640.55 and 1,400.91

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Solution

The third proportional to 640.55 and 1,400.91 is: 3,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.55 : 1,400.91 = 1,400.91 : x
  2. Step 2: Convert to fraction form
    640.55/1,400.91 = 1,400.91/x
  3. Step 3: Cross multiply
    640.55x = 1,400.91 × 1,400.91
  4. Step 4: Simplify right side
    640.55x = 1,962,538.32
  5. Step 5: Solve for x
    x = 1,962,538.32/640.55
  6. Step 6: Final answer
    x = 3,063.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.