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Finding the Third Proportional to 129,146 and 193,851

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Solution

The third proportional to 129,146 and 193,851 is: 290,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,146 : 193,851 = 193,851 : x
  2. Step 2: Convert to fraction form
    129,146/193,851 = 193,851/x
  3. Step 3: Cross multiply
    129,146x = 193,851 × 193,851
  4. Step 4: Simplify right side
    129,146x = 37,578,210,201
  5. Step 5: Solve for x
    x = 37,578,210,201/129,146
  6. Step 6: Final answer
    x = 290,974.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.