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Finding the Third Proportional to 476 and 640.25

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Solution

The third proportional to 476 and 640.25 is: 861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476 : 640.25 = 640.25 : x
  2. Step 2: Convert to fraction form
    476/640.25 = 640.25/x
  3. Step 3: Cross multiply
    476x = 640.25 × 640.25
  4. Step 4: Simplify right side
    476x = 409,920.06
  5. Step 5: Solve for x
    x = 409,920.06/476
  6. Step 6: Final answer
    x = 861.18

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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.