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Finding the Third Proportional to 131,476.50 and 289,197

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Solution

The third proportional to 131,476.50 and 289,197 is: 636,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,476.50 : 289,197 = 289,197 : x
  2. Step 2: Convert to fraction form
    131,476.50/289,197 = 289,197/x
  3. Step 3: Cross multiply
    131,476.50x = 289,197 × 289,197
  4. Step 4: Simplify right side
    131,476.50x = 83,634,904,809
  5. Step 5: Solve for x
    x = 83,634,904,809/131,476.50
  6. Step 6: Final answer
    x = 636,120.56

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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.