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Finding the Third Proportional to 666,412 and 949,758

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Solution

The third proportional to 666,412 and 949,758 is: 1,353,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,412 : 949,758 = 949,758 : x
  2. Step 2: Convert to fraction form
    666,412/949,758 = 949,758/x
  3. Step 3: Cross multiply
    666,412x = 949,758 × 949,758
  4. Step 4: Simplify right side
    666,412x = 902,040,258,564
  5. Step 5: Solve for x
    x = 902,040,258,564/666,412
  6. Step 6: Final answer
    x = 1,353,577.45

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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.