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Finding the Third Proportional to 412,856 and 638,068

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Solution

The third proportional to 412,856 and 638,068 is: 986,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,856 : 638,068 = 638,068 : x
  2. Step 2: Convert to fraction form
    412,856/638,068 = 638,068/x
  3. Step 3: Cross multiply
    412,856x = 638,068 × 638,068
  4. Step 4: Simplify right side
    412,856x = 407,130,772,624
  5. Step 5: Solve for x
    x = 407,130,772,624/412,856
  6. Step 6: Final answer
    x = 986,132.63

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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.