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Finding the Third Proportional to 662.34 and 1,438.97

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Solution

The third proportional to 662.34 and 1,438.97 is: 3,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.34 : 1,438.97 = 1,438.97 : x
  2. Step 2: Convert to fraction form
    662.34/1,438.97 = 1,438.97/x
  3. Step 3: Cross multiply
    662.34x = 1,438.97 × 1,438.97
  4. Step 4: Simplify right side
    662.34x = 2,070,631.06
  5. Step 5: Solve for x
    x = 2,070,631.06/662.34
  6. Step 6: Final answer
    x = 3,126.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.