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Finding the Third Proportional to 152,384 and 330,192

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Solution

The third proportional to 152,384 and 330,192 is: 715,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,384 : 330,192 = 330,192 : x
  2. Step 2: Convert to fraction form
    152,384/330,192 = 330,192/x
  3. Step 3: Cross multiply
    152,384x = 330,192 × 330,192
  4. Step 4: Simplify right side
    152,384x = 109,026,756,864
  5. Step 5: Solve for x
    x = 109,026,756,864/152,384
  6. Step 6: Final answer
    x = 715,473.78

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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.