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Finding the Third Proportional to 412,938 and 638,182

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Solution

The third proportional to 412,938 and 638,182 is: 986,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938 : 638,182 = 638,182 : x
  2. Step 2: Convert to fraction form
    412,938/638,182 = 638,182/x
  3. Step 3: Cross multiply
    412,938x = 638,182 × 638,182
  4. Step 4: Simplify right side
    412,938x = 407,276,265,124
  5. Step 5: Solve for x
    x = 407,276,265,124/412,938
  6. Step 6: Final answer
    x = 986,289.14

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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.