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Finding the Third Proportional to 239,533 and 359,306

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Solution

The third proportional to 239,533 and 359,306 is: 538,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,533 : 359,306 = 359,306 : x
  2. Step 2: Convert to fraction form
    239,533/359,306 = 359,306/x
  3. Step 3: Cross multiply
    239,533x = 359,306 × 359,306
  4. Step 4: Simplify right side
    239,533x = 129,100,801,636
  5. Step 5: Solve for x
    x = 129,100,801,636/239,533
  6. Step 6: Final answer
    x = 538,968.75

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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.