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Finding the Third Proportional to 208,694 and 279,579

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Solution

The third proportional to 208,694 and 279,579 is: 374,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694 : 279,579 = 279,579 : x
  2. Step 2: Convert to fraction form
    208,694/279,579 = 279,579/x
  3. Step 3: Cross multiply
    208,694x = 279,579 × 279,579
  4. Step 4: Simplify right side
    208,694x = 78,164,417,241
  5. Step 5: Solve for x
    x = 78,164,417,241/208,694
  6. Step 6: Final answer
    x = 374,540.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.