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Finding the Third Proportional to 412,881.75 and 638,110.13

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Solution

The third proportional to 412,881.75 and 638,110.13 is: 986,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.75 : 638,110.13 = 638,110.13 : x
  2. Step 2: Convert to fraction form
    412,881.75/638,110.13 = 638,110.13/x
  3. Step 3: Cross multiply
    412,881.75x = 638,110.13 × 638,110.13
  4. Step 4: Simplify right side
    412,881.75x = 407,184,531,627.52
  5. Step 5: Solve for x
    x = 407,184,531,627.52/412,881.75
  6. Step 6: Final answer
    x = 986,201.33

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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.