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Finding the Third Proportional to 131,390 and 289,021

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Solution

The third proportional to 131,390 and 289,021 is: 635,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,390 : 289,021 = 289,021 : x
  2. Step 2: Convert to fraction form
    131,390/289,021 = 289,021/x
  3. Step 3: Cross multiply
    131,390x = 289,021 × 289,021
  4. Step 4: Simplify right side
    131,390x = 83,533,138,441
  5. Step 5: Solve for x
    x = 83,533,138,441/131,390
  6. Step 6: Final answer
    x = 635,764.81

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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.