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Finding the Third Proportional to 421,920 and 926,784

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Solution

The third proportional to 421,920 and 926,784 is: 2,035,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,920 : 926,784 = 926,784 : x
  2. Step 2: Convert to fraction form
    421,920/926,784 = 926,784/x
  3. Step 3: Cross multiply
    421,920x = 926,784 × 926,784
  4. Step 4: Simplify right side
    421,920x = 858,928,582,656
  5. Step 5: Solve for x
    x = 858,928,582,656/421,920
  6. Step 6: Final answer
    x = 2,035,761.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.