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Finding the Third Proportional to 476.25 and 642.88

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Solution

The third proportional to 476.25 and 642.88 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 642.88 = 642.88 : x
  2. Step 2: Convert to fraction form
    476.25/642.88 = 642.88/x
  3. Step 3: Cross multiply
    476.25x = 642.88 × 642.88
  4. Step 4: Simplify right side
    476.25x = 413,288.27
  5. Step 5: Solve for x
    x = 413,288.27/476.25
  6. Step 6: Final answer
    x = 867.80

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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.