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Finding the Third Proportional to 129,238 and 279,233

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Solution

The third proportional to 129,238 and 279,233 is: 603,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,238 : 279,233 = 279,233 : x
  2. Step 2: Convert to fraction form
    129,238/279,233 = 279,233/x
  3. Step 3: Cross multiply
    129,238x = 279,233 × 279,233
  4. Step 4: Simplify right side
    129,238x = 77,971,068,289
  5. Step 5: Solve for x
    x = 77,971,068,289/129,238
  6. Step 6: Final answer
    x = 603,313.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.