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Finding the Third Proportional to 412,927 and 638,167

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Solution

The third proportional to 412,927 and 638,167 is: 986,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,927 : 638,167 = 638,167 : x
  2. Step 2: Convert to fraction form
    412,927/638,167 = 638,167/x
  3. Step 3: Cross multiply
    412,927x = 638,167 × 638,167
  4. Step 4: Simplify right side
    412,927x = 407,257,119,889
  5. Step 5: Solve for x
    x = 407,257,119,889/412,927
  6. Step 6: Final answer
    x = 986,269.05

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