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Finding the Third Proportional to 666,351 and 949,684.50

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Solution

The third proportional to 666,351 and 949,684.50 is: 1,353,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,351 : 949,684.50 = 949,684.50 : x
  2. Step 2: Convert to fraction form
    666,351/949,684.50 = 949,684.50/x
  3. Step 3: Cross multiply
    666,351x = 949,684.50 × 949,684.50
  4. Step 4: Simplify right side
    666,351x = 901,900,649,540.25
  5. Step 5: Solve for x
    x = 901,900,649,540.25/666,351
  6. Step 6: Final answer
    x = 1,353,491.85

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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.