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Finding the Third Proportional to 64,554 and 132,672

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Solution

The third proportional to 64,554 and 132,672 is: 272,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,554 : 132,672 = 132,672 : x
  2. Step 2: Convert to fraction form
    64,554/132,672 = 132,672/x
  3. Step 3: Cross multiply
    64,554x = 132,672 × 132,672
  4. Step 4: Simplify right side
    64,554x = 17,601,859,584
  5. Step 5: Solve for x
    x = 17,601,859,584/64,554
  6. Step 6: Final answer
    x = 272,668.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.