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Finding the Third Proportional to 68,564 and 149,272

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Solution

The third proportional to 68,564 and 149,272 is: 324,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564 : 149,272 = 149,272 : x
  2. Step 2: Convert to fraction form
    68,564/149,272 = 149,272/x
  3. Step 3: Cross multiply
    68,564x = 149,272 × 149,272
  4. Step 4: Simplify right side
    68,564x = 22,282,129,984
  5. Step 5: Solve for x
    x = 22,282,129,984/68,564
  6. Step 6: Final answer
    x = 324,982.94

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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.