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Finding the Third Proportional to 238,306 and 349,439

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Solution

The third proportional to 238,306 and 349,439 is: 512,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,306 : 349,439 = 349,439 : x
  2. Step 2: Convert to fraction form
    238,306/349,439 = 349,439/x
  3. Step 3: Cross multiply
    238,306x = 349,439 × 349,439
  4. Step 4: Simplify right side
    238,306x = 122,107,614,721
  5. Step 5: Solve for x
    x = 122,107,614,721/238,306
  6. Step 6: Final answer
    x = 512,398.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.