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Finding the Third Proportional to 200,996 and 312,561

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Solution

The third proportional to 200,996 and 312,561 is: 486,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996 : 312,561 = 312,561 : x
  2. Step 2: Convert to fraction form
    200,996/312,561 = 312,561/x
  3. Step 3: Cross multiply
    200,996x = 312,561 × 312,561
  4. Step 4: Simplify right side
    200,996x = 97,694,378,721
  5. Step 5: Solve for x
    x = 97,694,378,721/200,996
  6. Step 6: Final answer
    x = 486,051.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.