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Finding the Third Proportional to 215,724 and 315,378

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Solution

The third proportional to 215,724 and 315,378 is: 461,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724 : 315,378 = 315,378 : x
  2. Step 2: Convert to fraction form
    215,724/315,378 = 315,378/x
  3. Step 3: Cross multiply
    215,724x = 315,378 × 315,378
  4. Step 4: Simplify right side
    215,724x = 99,463,282,884
  5. Step 5: Solve for x
    x = 99,463,282,884/215,724
  6. Step 6: Final answer
    x = 461,067.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.