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Finding the Third Proportional to 393,717 and 813,680

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Solution

The third proportional to 393,717 and 813,680 is: 1,681,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,717 : 813,680 = 813,680 : x
  2. Step 2: Convert to fraction form
    393,717/813,680 = 813,680/x
  3. Step 3: Cross multiply
    393,717x = 813,680 × 813,680
  4. Step 4: Simplify right side
    393,717x = 662,075,142,400
  5. Step 5: Solve for x
    x = 662,075,142,400/393,717
  6. Step 6: Final answer
    x = 1,681,601.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.