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Finding the Third Proportional to 640.16 and 864.90

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Solution

The third proportional to 640.16 and 864.90 is: 1,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.16 : 864.90 = 864.90 : x
  2. Step 2: Convert to fraction form
    640.16/864.90 = 864.90/x
  3. Step 3: Cross multiply
    640.16x = 864.90 × 864.90
  4. Step 4: Simplify right side
    640.16x = 748,056.06
  5. Step 5: Solve for x
    x = 748,056.06/640.16
  6. Step 6: Final answer
    x = 1,168.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.