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Finding the Third Proportional to 138,102 and 213,259

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Solution

The third proportional to 138,102 and 213,259 is: 329,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,102 : 213,259 = 213,259 : x
  2. Step 2: Convert to fraction form
    138,102/213,259 = 213,259/x
  3. Step 3: Cross multiply
    138,102x = 213,259 × 213,259
  4. Step 4: Simplify right side
    138,102x = 45,479,401,081
  5. Step 5: Solve for x
    x = 45,479,401,081/138,102
  6. Step 6: Final answer
    x = 329,317.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.