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Finding the Third Proportional to 201,864 and 313,458

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Solution

The third proportional to 201,864 and 313,458 is: 486,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864 : 313,458 = 313,458 : x
  2. Step 2: Convert to fraction form
    201,864/313,458 = 313,458/x
  3. Step 3: Cross multiply
    201,864x = 313,458 × 313,458
  4. Step 4: Simplify right side
    201,864x = 98,255,917,764
  5. Step 5: Solve for x
    x = 98,255,917,764/201,864
  6. Step 6: Final answer
    x = 486,743.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.