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Finding the Third Proportional to 109,512 and 121,032

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Solution

The third proportional to 109,512 and 121,032 is: 133,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512 : 121,032 = 121,032 : x
  2. Step 2: Convert to fraction form
    109,512/121,032 = 121,032/x
  3. Step 3: Cross multiply
    109,512x = 121,032 × 121,032
  4. Step 4: Simplify right side
    109,512x = 14,648,745,024
  5. Step 5: Solve for x
    x = 14,648,745,024/109,512
  6. Step 6: Final answer
    x = 133,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.