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Finding the Third Proportional to 330,644 and 720,337

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Solution

The third proportional to 330,644 and 720,337 is: 1,569,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,644 : 720,337 = 720,337 : x
  2. Step 2: Convert to fraction form
    330,644/720,337 = 720,337/x
  3. Step 3: Cross multiply
    330,644x = 720,337 × 720,337
  4. Step 4: Simplify right side
    330,644x = 518,885,393,569
  5. Step 5: Solve for x
    x = 518,885,393,569/330,644
  6. Step 6: Final answer
    x = 1,569,317.43

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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.