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Finding the Third Proportional to 121,236 and 163,082

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Solution

The third proportional to 121,236 and 163,082 is: 219,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,236 : 163,082 = 163,082 : x
  2. Step 2: Convert to fraction form
    121,236/163,082 = 163,082/x
  3. Step 3: Cross multiply
    121,236x = 163,082 × 163,082
  4. Step 4: Simplify right side
    121,236x = 26,595,738,724
  5. Step 5: Solve for x
    x = 26,595,738,724/121,236
  6. Step 6: Final answer
    x = 219,371.63

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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.