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Finding the Third Proportional to 315.38 and 521.19

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Solution

The third proportional to 315.38 and 521.19 is: 861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 521.19 = 521.19 : x
  2. Step 2: Convert to fraction form
    315.38/521.19 = 521.19/x
  3. Step 3: Cross multiply
    315.38x = 521.19 × 521.19
  4. Step 4: Simplify right side
    315.38x = 271,636.41
  5. Step 5: Solve for x
    x = 271,636.41/315.38
  6. Step 6: Final answer
    x = 861.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.