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Finding the Third Proportional to 192,646 and 296,471

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Solution

The third proportional to 192,646 and 296,471 is: 456,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,646 : 296,471 = 296,471 : x
  2. Step 2: Convert to fraction form
    192,646/296,471 = 296,471/x
  3. Step 3: Cross multiply
    192,646x = 296,471 × 296,471
  4. Step 4: Simplify right side
    192,646x = 87,895,053,841
  5. Step 5: Solve for x
    x = 87,895,053,841/192,646
  6. Step 6: Final answer
    x = 456,251.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.