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Finding the Third Proportional to 253,984 and 379,728

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Solution

The third proportional to 253,984 and 379,728 is: 567,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,984 : 379,728 = 379,728 : x
  2. Step 2: Convert to fraction form
    253,984/379,728 = 379,728/x
  3. Step 3: Cross multiply
    253,984x = 379,728 × 379,728
  4. Step 4: Simplify right side
    253,984x = 144,193,353,984
  5. Step 5: Solve for x
    x = 144,193,353,984/253,984
  6. Step 6: Final answer
    x = 567,726.13

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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.