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Finding the Third Proportional to 266,846 and 415,579

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Solution

The third proportional to 266,846 and 415,579 is: 647,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,846 : 415,579 = 415,579 : x
  2. Step 2: Convert to fraction form
    266,846/415,579 = 415,579/x
  3. Step 3: Cross multiply
    266,846x = 415,579 × 415,579
  4. Step 4: Simplify right side
    266,846x = 172,705,905,241
  5. Step 5: Solve for x
    x = 172,705,905,241/266,846
  6. Step 6: Final answer
    x = 647,211.89

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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.