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Finding the Third Proportional to 245,864 and 394,332

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Solution

The third proportional to 245,864 and 394,332 is: 632,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,864 : 394,332 = 394,332 : x
  2. Step 2: Convert to fraction form
    245,864/394,332 = 394,332/x
  3. Step 3: Cross multiply
    245,864x = 394,332 × 394,332
  4. Step 4: Simplify right side
    245,864x = 155,497,726,224
  5. Step 5: Solve for x
    x = 155,497,726,224/245,864
  6. Step 6: Final answer
    x = 632,454.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.