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Finding the Third Proportional to 60,388 and 128,120

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Solution

The third proportional to 60,388 and 128,120 is: 271,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,388 : 128,120 = 128,120 : x
  2. Step 2: Convert to fraction form
    60,388/128,120 = 128,120/x
  3. Step 3: Cross multiply
    60,388x = 128,120 × 128,120
  4. Step 4: Simplify right side
    60,388x = 16,414,734,400
  5. Step 5: Solve for x
    x = 16,414,734,400/60,388
  6. Step 6: Final answer
    x = 271,821.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.