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Finding the Third Proportional to 666,486 and 949,869

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Solution

The third proportional to 666,486 and 949,869 is: 1,353,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,486 : 949,869 = 949,869 : x
  2. Step 2: Convert to fraction form
    666,486/949,869 = 949,869/x
  3. Step 3: Cross multiply
    666,486x = 949,869 × 949,869
  4. Step 4: Simplify right side
    666,486x = 902,251,117,161
  5. Step 5: Solve for x
    x = 902,251,117,161/666,486
  6. Step 6: Final answer
    x = 1,353,743.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.