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Finding the Third Proportional to 330,648 and 720,345

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Solution

The third proportional to 330,648 and 720,345 is: 1,569,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,648 : 720,345 = 720,345 : x
  2. Step 2: Convert to fraction form
    330,648/720,345 = 720,345/x
  3. Step 3: Cross multiply
    330,648x = 720,345 × 720,345
  4. Step 4: Simplify right side
    330,648x = 518,896,919,025
  5. Step 5: Solve for x
    x = 518,896,919,025/330,648
  6. Step 6: Final answer
    x = 1,569,333.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.