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Finding the Third Proportional to 39,120 and 55,740

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Solution

The third proportional to 39,120 and 55,740 is: 79,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120 : 55,740 = 55,740 : x
  2. Step 2: Convert to fraction form
    39,120/55,740 = 55,740/x
  3. Step 3: Cross multiply
    39,120x = 55,740 × 55,740
  4. Step 4: Simplify right side
    39,120x = 3,106,947,600
  5. Step 5: Solve for x
    x = 3,106,947,600/39,120
  6. Step 6: Final answer
    x = 79,420.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.