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Finding the Third Proportional to 151,731 and 315,126

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Solution

The third proportional to 151,731 and 315,126 is: 654,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,731 : 315,126 = 315,126 : x
  2. Step 2: Convert to fraction form
    151,731/315,126 = 315,126/x
  3. Step 3: Cross multiply
    151,731x = 315,126 × 315,126
  4. Step 4: Simplify right side
    151,731x = 99,304,395,876
  5. Step 5: Solve for x
    x = 99,304,395,876/151,731
  6. Step 6: Final answer
    x = 654,476.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.