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Finding the Third Proportional to 4,248,400 and 6,407,869

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Solution

The third proportional to 4,248,400 and 6,407,869 is: 9,664,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248,400 : 6,407,869 = 6,407,869 : x
  2. Step 2: Convert to fraction form
    4,248,400/6,407,869 = 6,407,869/x
  3. Step 3: Cross multiply
    4,248,400x = 6,407,869 × 6,407,869
  4. Step 4: Simplify right side
    4,248,400x = 41,060,785,121,161
  5. Step 5: Solve for x
    x = 41,060,785,121,161/4,248,400
  6. Step 6: Final answer
    x = 9,664,999.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.