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Finding the Third Proportional to 68,434 and 146,325

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Solution

The third proportional to 68,434 and 146,325 is: 312,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,434 : 146,325 = 146,325 : x
  2. Step 2: Convert to fraction form
    68,434/146,325 = 146,325/x
  3. Step 3: Cross multiply
    68,434x = 146,325 × 146,325
  4. Step 4: Simplify right side
    68,434x = 21,411,005,625
  5. Step 5: Solve for x
    x = 21,411,005,625/68,434
  6. Step 6: Final answer
    x = 312,870.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.