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Finding the Third Proportional to 412,862 and 638,077

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Solution

The third proportional to 412,862 and 638,077 is: 986,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,862 : 638,077 = 638,077 : x
  2. Step 2: Convert to fraction form
    412,862/638,077 = 638,077/x
  3. Step 3: Cross multiply
    412,862x = 638,077 × 638,077
  4. Step 4: Simplify right side
    412,862x = 407,142,257,929
  5. Step 5: Solve for x
    x = 407,142,257,929/412,862
  6. Step 6: Final answer
    x = 986,146.12

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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.