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Finding the Third Proportional to 89,946 and 134,190

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Solution

The third proportional to 89,946 and 134,190 is: 200,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,946 : 134,190 = 134,190 : x
  2. Step 2: Convert to fraction form
    89,946/134,190 = 134,190/x
  3. Step 3: Cross multiply
    89,946x = 134,190 × 134,190
  4. Step 4: Simplify right side
    89,946x = 18,006,956,100
  5. Step 5: Solve for x
    x = 18,006,956,100/89,946
  6. Step 6: Final answer
    x = 200,197.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.