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Finding the Third Proportional to 129,162 and 201,396

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Solution

The third proportional to 129,162 and 201,396 is: 314,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162 : 201,396 = 201,396 : x
  2. Step 2: Convert to fraction form
    129,162/201,396 = 201,396/x
  3. Step 3: Cross multiply
    129,162x = 201,396 × 201,396
  4. Step 4: Simplify right side
    129,162x = 40,560,348,816
  5. Step 5: Solve for x
    x = 40,560,348,816/129,162
  6. Step 6: Final answer
    x = 314,026.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.