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Finding the Third Proportional to 131,598 and 289,432

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Solution

The third proportional to 131,598 and 289,432 is: 636,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,598 : 289,432 = 289,432 : x
  2. Step 2: Convert to fraction form
    131,598/289,432 = 289,432/x
  3. Step 3: Cross multiply
    131,598x = 289,432 × 289,432
  4. Step 4: Simplify right side
    131,598x = 83,770,882,624
  5. Step 5: Solve for x
    x = 83,770,882,624/131,598
  6. Step 6: Final answer
    x = 636,566.53

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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.