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Finding the Third Proportional to 347,928 and 538,728

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Solution

The third proportional to 347,928 and 538,728 is: 834,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,928 : 538,728 = 538,728 : x
  2. Step 2: Convert to fraction form
    347,928/538,728 = 538,728/x
  3. Step 3: Cross multiply
    347,928x = 538,728 × 538,728
  4. Step 4: Simplify right side
    347,928x = 290,227,857,984
  5. Step 5: Solve for x
    x = 290,227,857,984/347,928
  6. Step 6: Final answer
    x = 834,160.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.