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Finding the Third Proportional to 153,519 and 330,366

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Solution

The third proportional to 153,519 and 330,366 is: 710,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,519 : 330,366 = 330,366 : x
  2. Step 2: Convert to fraction form
    153,519/330,366 = 330,366/x
  3. Step 3: Cross multiply
    153,519x = 330,366 × 330,366
  4. Step 4: Simplify right side
    153,519x = 109,141,693,956
  5. Step 5: Solve for x
    x = 109,141,693,956/153,519
  6. Step 6: Final answer
    x = 710,932.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.