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Finding the Third Proportional to 132,480 and 198,216

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Solution

The third proportional to 132,480 and 198,216 is: 296,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 198,216 = 198,216 : x
  2. Step 2: Convert to fraction form
    132,480/198,216 = 198,216/x
  3. Step 3: Cross multiply
    132,480x = 198,216 × 198,216
  4. Step 4: Simplify right side
    132,480x = 39,289,582,656
  5. Step 5: Solve for x
    x = 39,289,582,656/132,480
  6. Step 6: Final answer
    x = 296,569.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.