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Finding the Third Proportional to 666.12 and 1,401.28

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Solution

The third proportional to 666.12 and 1,401.28 is: 2,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 1,401.28 = 1,401.28 : x
  2. Step 2: Convert to fraction form
    666.12/1,401.28 = 1,401.28/x
  3. Step 3: Cross multiply
    666.12x = 1,401.28 × 1,401.28
  4. Step 4: Simplify right side
    666.12x = 1,963,589.14
  5. Step 5: Solve for x
    x = 1,963,589.14/666.12
  6. Step 6: Final answer
    x = 2,947.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.