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Finding the Third Proportional to 412,887 and 638,115

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Solution

The third proportional to 412,887 and 638,115 is: 986,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,887 : 638,115 = 638,115 : x
  2. Step 2: Convert to fraction form
    412,887/638,115 = 638,115/x
  3. Step 3: Cross multiply
    412,887x = 638,115 × 638,115
  4. Step 4: Simplify right side
    412,887x = 407,190,753,225
  5. Step 5: Solve for x
    x = 407,190,753,225/412,887
  6. Step 6: Final answer
    x = 986,203.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.