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Finding the Third Proportional to 131,554 and 289,351

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Solution

The third proportional to 131,554 and 289,351 is: 636,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,554 : 289,351 = 289,351 : x
  2. Step 2: Convert to fraction form
    131,554/289,351 = 289,351/x
  3. Step 3: Cross multiply
    131,554x = 289,351 × 289,351
  4. Step 4: Simplify right side
    131,554x = 83,724,001,201
  5. Step 5: Solve for x
    x = 83,724,001,201/131,554
  6. Step 6: Final answer
    x = 636,423.07

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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.