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Finding the Third Proportional to 640.13 and 734.06

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Solution

The third proportional to 640.13 and 734.06 is: 841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 734.06 = 734.06 : x
  2. Step 2: Convert to fraction form
    640.13/734.06 = 734.06/x
  3. Step 3: Cross multiply
    640.13x = 734.06 × 734.06
  4. Step 4: Simplify right side
    640.13x = 538,847.75
  5. Step 5: Solve for x
    x = 538,847.75/640.13
  6. Step 6: Final answer
    x = 841.79

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.