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Finding the Third Proportional to 239,694 and 521,223

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Solution

The third proportional to 239,694 and 521,223 is: 1,133,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,694 : 521,223 = 521,223 : x
  2. Step 2: Convert to fraction form
    239,694/521,223 = 521,223/x
  3. Step 3: Cross multiply
    239,694x = 521,223 × 521,223
  4. Step 4: Simplify right side
    239,694x = 271,673,415,729
  5. Step 5: Solve for x
    x = 271,673,415,729/239,694
  6. Step 6: Final answer
    x = 1,133,417.67

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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.