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Finding the Third Proportional to 412,848 and 638,059

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Solution

The third proportional to 412,848 and 638,059 is: 986,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848 : 638,059 = 638,059 : x
  2. Step 2: Convert to fraction form
    412,848/638,059 = 638,059/x
  3. Step 3: Cross multiply
    412,848x = 638,059 × 638,059
  4. Step 4: Simplify right side
    412,848x = 407,119,287,481
  5. Step 5: Solve for x
    x = 407,119,287,481/412,848
  6. Step 6: Final answer
    x = 986,123.92

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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.