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Finding the Third Proportional to 266,714 and 412,851

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Solution

The third proportional to 266,714 and 412,851 is: 639,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,714 : 412,851 = 412,851 : x
  2. Step 2: Convert to fraction form
    266,714/412,851 = 412,851/x
  3. Step 3: Cross multiply
    266,714x = 412,851 × 412,851
  4. Step 4: Simplify right side
    266,714x = 170,445,948,201
  5. Step 5: Solve for x
    x = 170,445,948,201/266,714
  6. Step 6: Final answer
    x = 639,058.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.