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Finding the Third Proportional to 131,106 and 200,481

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Solution

The third proportional to 131,106 and 200,481 is: 306,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,106 : 200,481 = 200,481 : x
  2. Step 2: Convert to fraction form
    131,106/200,481 = 200,481/x
  3. Step 3: Cross multiply
    131,106x = 200,481 × 200,481
  4. Step 4: Simplify right side
    131,106x = 40,192,631,361
  5. Step 5: Solve for x
    x = 40,192,631,361/131,106
  6. Step 6: Final answer
    x = 306,565.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.