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Finding the Third Proportional to 394,368 and 611,784

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Solution

The third proportional to 394,368 and 611,784 is: 949,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,368 : 611,784 = 611,784 : x
  2. Step 2: Convert to fraction form
    394,368/611,784 = 611,784/x
  3. Step 3: Cross multiply
    394,368x = 611,784 × 611,784
  4. Step 4: Simplify right side
    394,368x = 374,279,662,656
  5. Step 5: Solve for x
    x = 374,279,662,656/394,368
  6. Step 6: Final answer
    x = 949,061.95

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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.