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Finding the Third Proportional to 131,537 and 289,885

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Solution

The third proportional to 131,537 and 289,885 is: 638,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,537 : 289,885 = 289,885 : x
  2. Step 2: Convert to fraction form
    131,537/289,885 = 289,885/x
  3. Step 3: Cross multiply
    131,537x = 289,885 × 289,885
  4. Step 4: Simplify right side
    131,537x = 84,033,313,225
  5. Step 5: Solve for x
    x = 84,033,313,225/131,537
  6. Step 6: Final answer
    x = 638,856.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.