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Finding the Third Proportional to 502.75 and 643.75

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Solution

The third proportional to 502.75 and 643.75 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.75 : 643.75 = 643.75 : x
  2. Step 2: Convert to fraction form
    502.75/643.75 = 643.75/x
  3. Step 3: Cross multiply
    502.75x = 643.75 × 643.75
  4. Step 4: Simplify right side
    502.75x = 414,414.06
  5. Step 5: Solve for x
    x = 414,414.06/502.75
  6. Step 6: Final answer
    x = 824.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.