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Finding the Third Proportional to 152,296 and 330,728

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Solution

The third proportional to 152,296 and 330,728 is: 718,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,296 : 330,728 = 330,728 : x
  2. Step 2: Convert to fraction form
    152,296/330,728 = 330,728/x
  3. Step 3: Cross multiply
    152,296x = 330,728 × 330,728
  4. Step 4: Simplify right side
    152,296x = 109,381,009,984
  5. Step 5: Solve for x
    x = 109,381,009,984/152,296
  6. Step 6: Final answer
    x = 718,213.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.