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Finding the Third Proportional to 131,690 and 289,636

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Solution

The third proportional to 131,690 and 289,636 is: 637,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,690 : 289,636 = 289,636 : x
  2. Step 2: Convert to fraction form
    131,690/289,636 = 289,636/x
  3. Step 3: Cross multiply
    131,690x = 289,636 × 289,636
  4. Step 4: Simplify right side
    131,690x = 83,889,012,496
  5. Step 5: Solve for x
    x = 83,889,012,496/131,690
  6. Step 6: Final answer
    x = 637,018.85

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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.