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Finding the Third Proportional to 39,804 and 55,791

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Solution

The third proportional to 39,804 and 55,791 is: 78,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804 : 55,791 = 55,791 : x
  2. Step 2: Convert to fraction form
    39,804/55,791 = 55,791/x
  3. Step 3: Cross multiply
    39,804x = 55,791 × 55,791
  4. Step 4: Simplify right side
    39,804x = 3,112,635,681
  5. Step 5: Solve for x
    x = 3,112,635,681/39,804
  6. Step 6: Final answer
    x = 78,199.07

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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.