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Finding the Third Proportional to 138,169.50 and 213,357

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Solution

The third proportional to 138,169.50 and 213,357 is: 329,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.50 : 213,357 = 213,357 : x
  2. Step 2: Convert to fraction form
    138,169.50/213,357 = 213,357/x
  3. Step 3: Cross multiply
    138,169.50x = 213,357 × 213,357
  4. Step 4: Simplify right side
    138,169.50x = 45,521,209,449
  5. Step 5: Solve for x
    x = 45,521,209,449/138,169.50
  6. Step 6: Final answer
    x = 329,459.17

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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.