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Finding the Third Proportional to 131,176 and 289,916

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Solution

The third proportional to 131,176 and 289,916 is: 640,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,176 : 289,916 = 289,916 : x
  2. Step 2: Convert to fraction form
    131,176/289,916 = 289,916/x
  3. Step 3: Cross multiply
    131,176x = 289,916 × 289,916
  4. Step 4: Simplify right side
    131,176x = 84,051,287,056
  5. Step 5: Solve for x
    x = 84,051,287,056/131,176
  6. Step 6: Final answer
    x = 640,752.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.