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Finding the Third Proportional to 666,347 and 949,679

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Solution

The third proportional to 666,347 and 949,679 is: 1,353,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,347 : 949,679 = 949,679 : x
  2. Step 2: Convert to fraction form
    666,347/949,679 = 949,679/x
  3. Step 3: Cross multiply
    666,347x = 949,679 × 949,679
  4. Step 4: Simplify right side
    666,347x = 901,890,203,041
  5. Step 5: Solve for x
    x = 901,890,203,041/666,347
  6. Step 6: Final answer
    x = 1,353,484.30

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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.