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Finding the Third Proportional to 56,739 and 69,375

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Solution

The third proportional to 56,739 and 69,375 is: 84,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,739 : 69,375 = 69,375 : x
  2. Step 2: Convert to fraction form
    56,739/69,375 = 69,375/x
  3. Step 3: Cross multiply
    56,739x = 69,375 × 69,375
  4. Step 4: Simplify right side
    56,739x = 4,812,890,625
  5. Step 5: Solve for x
    x = 4,812,890,625/56,739
  6. Step 6: Final answer
    x = 84,825.09

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.