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Finding the Third Proportional to 34,978 and 54,559

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Solution

The third proportional to 34,978 and 54,559 is: 85,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978 : 54,559 = 54,559 : x
  2. Step 2: Convert to fraction form
    34,978/54,559 = 54,559/x
  3. Step 3: Cross multiply
    34,978x = 54,559 × 54,559
  4. Step 4: Simplify right side
    34,978x = 2,976,684,481
  5. Step 5: Solve for x
    x = 2,976,684,481/34,978
  6. Step 6: Final answer
    x = 85,101.62

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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.