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Finding the Third Proportional to 39,754 and 55,716

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Solution

The third proportional to 39,754 and 55,716 is: 78,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 55,716 = 55,716 : x
  2. Step 2: Convert to fraction form
    39,754/55,716 = 55,716/x
  3. Step 3: Cross multiply
    39,754x = 55,716 × 55,716
  4. Step 4: Simplify right side
    39,754x = 3,104,272,656
  5. Step 5: Solve for x
    x = 3,104,272,656/39,754
  6. Step 6: Final answer
    x = 78,087.05

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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.