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Finding the Third Proportional to 131,876 and 289,023

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Solution

The third proportional to 131,876 and 289,023 is: 633,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,876 : 289,023 = 289,023 : x
  2. Step 2: Convert to fraction form
    131,876/289,023 = 289,023/x
  3. Step 3: Cross multiply
    131,876x = 289,023 × 289,023
  4. Step 4: Simplify right side
    131,876x = 83,534,294,529
  5. Step 5: Solve for x
    x = 83,534,294,529/131,876
  6. Step 6: Final answer
    x = 633,430.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.