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Finding the Third Proportional to 474.94 and 645.28

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Solution

The third proportional to 474.94 and 645.28 is: 876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 645.28 = 645.28 : x
  2. Step 2: Convert to fraction form
    474.94/645.28 = 645.28/x
  3. Step 3: Cross multiply
    474.94x = 645.28 × 645.28
  4. Step 4: Simplify right side
    474.94x = 416,387.89
  5. Step 5: Solve for x
    x = 416,387.89/474.94
  6. Step 6: Final answer
    x = 876.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.