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Finding the Third Proportional to 89,946 and 132,003

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Solution

The third proportional to 89,946 and 132,003 is: 193,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,946 : 132,003 = 132,003 : x
  2. Step 2: Convert to fraction form
    89,946/132,003 = 132,003/x
  3. Step 3: Cross multiply
    89,946x = 132,003 × 132,003
  4. Step 4: Simplify right side
    89,946x = 17,424,792,009
  5. Step 5: Solve for x
    x = 17,424,792,009/89,946
  6. Step 6: Final answer
    x = 193,725.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.