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Finding the Third Proportional to 138.84 and 207.23

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Solution

The third proportional to 138.84 and 207.23 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 207.23 = 207.23 : x
  2. Step 2: Convert to fraction form
    138.84/207.23 = 207.23/x
  3. Step 3: Cross multiply
    138.84x = 207.23 × 207.23
  4. Step 4: Simplify right side
    138.84x = 42,946.09
  5. Step 5: Solve for x
    x = 42,946.09/138.84
  6. Step 6: Final answer
    x = 309.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.