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Finding the Third Proportional to 666,345 and 949,676

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Solution

The third proportional to 666,345 and 949,676 is: 1,353,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,345 : 949,676 = 949,676 : x
  2. Step 2: Convert to fraction form
    666,345/949,676 = 949,676/x
  3. Step 3: Cross multiply
    666,345x = 949,676 × 949,676
  4. Step 4: Simplify right side
    666,345x = 901,884,504,976
  5. Step 5: Solve for x
    x = 901,884,504,976/666,345
  6. Step 6: Final answer
    x = 1,353,479.81

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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.