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Finding the Third Proportional to 39,648 and 77,280

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Solution

The third proportional to 39,648 and 77,280 is: 150,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 77,280 = 77,280 : x
  2. Step 2: Convert to fraction form
    39,648/77,280 = 77,280/x
  3. Step 3: Cross multiply
    39,648x = 77,280 × 77,280
  4. Step 4: Simplify right side
    39,648x = 5,972,198,400
  5. Step 5: Solve for x
    x = 5,972,198,400/39,648
  6. Step 6: Final answer
    x = 150,630.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.