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Finding the Third Proportional to 68,188 and 148,208

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Solution

The third proportional to 68,188 and 148,208 is: 322,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188 : 148,208 = 148,208 : x
  2. Step 2: Convert to fraction form
    68,188/148,208 = 148,208/x
  3. Step 3: Cross multiply
    68,188x = 148,208 × 148,208
  4. Step 4: Simplify right side
    68,188x = 21,965,611,264
  5. Step 5: Solve for x
    x = 21,965,611,264/68,188
  6. Step 6: Final answer
    x = 322,133.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.