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Finding the Third Proportional to 267,778 and 386,925

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Solution

The third proportional to 267,778 and 386,925 is: 559,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,778 : 386,925 = 386,925 : x
  2. Step 2: Convert to fraction form
    267,778/386,925 = 386,925/x
  3. Step 3: Cross multiply
    267,778x = 386,925 × 386,925
  4. Step 4: Simplify right side
    267,778x = 149,710,955,625
  5. Step 5: Solve for x
    x = 149,710,955,625/267,778
  6. Step 6: Final answer
    x = 559,086.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.