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Finding the Third Proportional to 839,422 and 1,812,863

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Solution

The third proportional to 839,422 and 1,812,863 is: 3,915,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,422 : 1,812,863 = 1,812,863 : x
  2. Step 2: Convert to fraction form
    839,422/1,812,863 = 1,812,863/x
  3. Step 3: Cross multiply
    839,422x = 1,812,863 × 1,812,863
  4. Step 4: Simplify right side
    839,422x = 3,286,472,256,769
  5. Step 5: Solve for x
    x = 3,286,472,256,769/839,422
  6. Step 6: Final answer
    x = 3,915,160.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.