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Finding the Third Proportional to 662.91 and 1,392.47

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Solution

The third proportional to 662.91 and 1,392.47 is: 2,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.91 : 1,392.47 = 1,392.47 : x
  2. Step 2: Convert to fraction form
    662.91/1,392.47 = 1,392.47/x
  3. Step 3: Cross multiply
    662.91x = 1,392.47 × 1,392.47
  4. Step 4: Simplify right side
    662.91x = 1,938,969.22
  5. Step 5: Solve for x
    x = 1,938,969.22/662.91
  6. Step 6: Final answer
    x = 2,924.95

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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.