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Finding the Third Proportional to 154,689 and 246,143

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Solution

The third proportional to 154,689 and 246,143 is: 391,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,689 : 246,143 = 246,143 : x
  2. Step 2: Convert to fraction form
    154,689/246,143 = 246,143/x
  3. Step 3: Cross multiply
    154,689x = 246,143 × 246,143
  4. Step 4: Simplify right side
    154,689x = 60,586,376,449
  5. Step 5: Solve for x
    x = 60,586,376,449/154,689
  6. Step 6: Final answer
    x = 391,665.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.