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Finding the Third Proportional to 207,912 and 449,061

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Solution

The third proportional to 207,912 and 449,061 is: 969,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,912 : 449,061 = 449,061 : x
  2. Step 2: Convert to fraction form
    207,912/449,061 = 449,061/x
  3. Step 3: Cross multiply
    207,912x = 449,061 × 449,061
  4. Step 4: Simplify right side
    207,912x = 201,655,781,721
  5. Step 5: Solve for x
    x = 201,655,781,721/207,912
  6. Step 6: Final answer
    x = 969,909.30

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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.