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Finding the Third Proportional to 128,731.50 and 269,233

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Solution

The third proportional to 128,731.50 and 269,233 is: 563,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,731.50 : 269,233 = 269,233 : x
  2. Step 2: Convert to fraction form
    128,731.50/269,233 = 269,233/x
  3. Step 3: Cross multiply
    128,731.50x = 269,233 × 269,233
  4. Step 4: Simplify right side
    128,731.50x = 72,486,408,289
  5. Step 5: Solve for x
    x = 72,486,408,289/128,731.50
  6. Step 6: Final answer
    x = 563,082.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.