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Finding the Third Proportional to 131,565 and 200,115

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Solution

The third proportional to 131,565 and 200,115 is: 304,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,565 : 200,115 = 200,115 : x
  2. Step 2: Convert to fraction form
    131,565/200,115 = 200,115/x
  3. Step 3: Cross multiply
    131,565x = 200,115 × 200,115
  4. Step 4: Simplify right side
    131,565x = 40,046,013,225
  5. Step 5: Solve for x
    x = 40,046,013,225/131,565
  6. Step 6: Final answer
    x = 304,381.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.