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Finding the Third Proportional to 323.58 and 502.45

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Solution

The third proportional to 323.58 and 502.45 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.58 : 502.45 = 502.45 : x
  2. Step 2: Convert to fraction form
    323.58/502.45 = 502.45/x
  3. Step 3: Cross multiply
    323.58x = 502.45 × 502.45
  4. Step 4: Simplify right side
    323.58x = 252,459.14
  5. Step 5: Solve for x
    x = 252,459.14/323.58
  6. Step 6: Final answer
    x = 780.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.