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Finding the Third Proportional to 68,400 and 149,344

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Solution

The third proportional to 68,400 and 149,344 is: 326,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 149,344 = 149,344 : x
  2. Step 2: Convert to fraction form
    68,400/149,344 = 149,344/x
  3. Step 3: Cross multiply
    68,400x = 149,344 × 149,344
  4. Step 4: Simplify right side
    68,400x = 22,303,630,336
  5. Step 5: Solve for x
    x = 22,303,630,336/68,400
  6. Step 6: Final answer
    x = 326,076.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.