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Finding the Third Proportional to 131,606 and 289,444

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Solution

The third proportional to 131,606 and 289,444 is: 636,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,606 : 289,444 = 289,444 : x
  2. Step 2: Convert to fraction form
    131,606/289,444 = 289,444/x
  3. Step 3: Cross multiply
    131,606x = 289,444 × 289,444
  4. Step 4: Simplify right side
    131,606x = 83,777,829,136
  5. Step 5: Solve for x
    x = 83,777,829,136/131,606
  6. Step 6: Final answer
    x = 636,580.62

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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.