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Finding the Third Proportional to 239,474 and 359,213

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Solution

The third proportional to 239,474 and 359,213 is: 538,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,474 : 359,213 = 359,213 : x
  2. Step 2: Convert to fraction form
    239,474/359,213 = 359,213/x
  3. Step 3: Cross multiply
    239,474x = 359,213 × 359,213
  4. Step 4: Simplify right side
    239,474x = 129,033,979,369
  5. Step 5: Solve for x
    x = 129,033,979,369/239,474
  6. Step 6: Final answer
    x = 538,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.