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Finding the Third Proportional to 131,771 and 289,783

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Solution

The third proportional to 131,771 and 289,783 is: 637,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,771 : 289,783 = 289,783 : x
  2. Step 2: Convert to fraction form
    131,771/289,783 = 289,783/x
  3. Step 3: Cross multiply
    131,771x = 289,783 × 289,783
  4. Step 4: Simplify right side
    131,771x = 83,974,187,089
  5. Step 5: Solve for x
    x = 83,974,187,089/131,771
  6. Step 6: Final answer
    x = 637,273.66

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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.