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Finding the Third Proportional to 216,864 and 315,414

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Solution

The third proportional to 216,864 and 315,414 is: 458,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864 : 315,414 = 315,414 : x
  2. Step 2: Convert to fraction form
    216,864/315,414 = 315,414/x
  3. Step 3: Cross multiply
    216,864x = 315,414 × 315,414
  4. Step 4: Simplify right side
    216,864x = 99,485,991,396
  5. Step 5: Solve for x
    x = 99,485,991,396/216,864
  6. Step 6: Final answer
    x = 458,748.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.