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Finding the Third Proportional to 39,822 and 55,817

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Solution

The third proportional to 39,822 and 55,817 is: 78,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822 : 55,817 = 55,817 : x
  2. Step 2: Convert to fraction form
    39,822/55,817 = 55,817/x
  3. Step 3: Cross multiply
    39,822x = 55,817 × 55,817
  4. Step 4: Simplify right side
    39,822x = 3,115,537,489
  5. Step 5: Solve for x
    x = 3,115,537,489/39,822
  6. Step 6: Final answer
    x = 78,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.