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Finding the Third Proportional to 412,737 and 617,208

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Solution

The third proportional to 412,737 and 617,208 is: 922,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,737 : 617,208 = 617,208 : x
  2. Step 2: Convert to fraction form
    412,737/617,208 = 617,208/x
  3. Step 3: Cross multiply
    412,737x = 617,208 × 617,208
  4. Step 4: Simplify right side
    412,737x = 380,945,715,264
  5. Step 5: Solve for x
    x = 380,945,715,264/412,737
  6. Step 6: Final answer
    x = 922,974.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.