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Finding the Third Proportional to 289,378.13 and 412,785

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Solution

The third proportional to 289,378.13 and 412,785 is: 588,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,378.13 : 412,785 = 412,785 : x
  2. Step 2: Convert to fraction form
    289,378.13/412,785 = 412,785/x
  3. Step 3: Cross multiply
    289,378.13x = 412,785 × 412,785
  4. Step 4: Simplify right side
    289,378.13x = 170,391,456,225
  5. Step 5: Solve for x
    x = 170,391,456,225/289,378.13
  6. Step 6: Final answer
    x = 588,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.