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Finding the Third Proportional to 200,812 and 322,863

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Solution

The third proportional to 200,812 and 322,863 is: 519,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812 : 322,863 = 322,863 : x
  2. Step 2: Convert to fraction form
    200,812/322,863 = 322,863/x
  3. Step 3: Cross multiply
    200,812x = 322,863 × 322,863
  4. Step 4: Simplify right side
    200,812x = 104,240,516,769
  5. Step 5: Solve for x
    x = 104,240,516,769/200,812
  6. Step 6: Final answer
    x = 519,095.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.