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Finding the Third Proportional to 64,197 and 132,480

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Solution

The third proportional to 64,197 and 132,480 is: 273,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197 : 132,480 = 132,480 : x
  2. Step 2: Convert to fraction form
    64,197/132,480 = 132,480/x
  3. Step 3: Cross multiply
    64,197x = 132,480 × 132,480
  4. Step 4: Simplify right side
    64,197x = 17,550,950,400
  5. Step 5: Solve for x
    x = 17,550,950,400/64,197
  6. Step 6: Final answer
    x = 273,392.07

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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.