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Finding the Third Proportional to 68,840 and 150,640

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Solution

The third proportional to 68,840 and 150,640 is: 329,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,840 : 150,640 = 150,640 : x
  2. Step 2: Convert to fraction form
    68,840/150,640 = 150,640/x
  3. Step 3: Cross multiply
    68,840x = 150,640 × 150,640
  4. Step 4: Simplify right side
    68,840x = 22,692,409,600
  5. Step 5: Solve for x
    x = 22,692,409,600/68,840
  6. Step 6: Final answer
    x = 329,639.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.