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Finding the Third Proportional to 131,810 and 289,828

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Solution

The third proportional to 131,810 and 289,828 is: 637,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,810 : 289,828 = 289,828 : x
  2. Step 2: Convert to fraction form
    131,810/289,828 = 289,828/x
  3. Step 3: Cross multiply
    131,810x = 289,828 × 289,828
  4. Step 4: Simplify right side
    131,810x = 84,000,269,584
  5. Step 5: Solve for x
    x = 84,000,269,584/131,810
  6. Step 6: Final answer
    x = 637,282.98

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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.