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Finding the Third Proportional to 131,571 and 289,386

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Solution

The third proportional to 131,571 and 289,386 is: 636,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,571 : 289,386 = 289,386 : x
  2. Step 2: Convert to fraction form
    131,571/289,386 = 289,386/x
  3. Step 3: Cross multiply
    131,571x = 289,386 × 289,386
  4. Step 4: Simplify right side
    131,571x = 83,744,256,996
  5. Step 5: Solve for x
    x = 83,744,256,996/131,571
  6. Step 6: Final answer
    x = 636,494.80

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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.