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Finding the Third Proportional to 39,928 and 55,516

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Solution

The third proportional to 39,928 and 55,516 is: 77,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,928 : 55,516 = 55,516 : x
  2. Step 2: Convert to fraction form
    39,928/55,516 = 55,516/x
  3. Step 3: Cross multiply
    39,928x = 55,516 × 55,516
  4. Step 4: Simplify right side
    39,928x = 3,082,026,256
  5. Step 5: Solve for x
    x = 3,082,026,256/39,928
  6. Step 6: Final answer
    x = 77,189.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.