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Finding the Third Proportional to 98,096 and 132,480

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Solution

The third proportional to 98,096 and 132,480 is: 178,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,096 : 132,480 = 132,480 : x
  2. Step 2: Convert to fraction form
    98,096/132,480 = 132,480/x
  3. Step 3: Cross multiply
    98,096x = 132,480 × 132,480
  4. Step 4: Simplify right side
    98,096x = 17,550,950,400
  5. Step 5: Solve for x
    x = 17,550,950,400/98,096
  6. Step 6: Final answer
    x = 178,916.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.