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Finding the Third Proportional to 330,650 and 720,349

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Solution

The third proportional to 330,650 and 720,349 is: 1,569,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,650 : 720,349 = 720,349 : x
  2. Step 2: Convert to fraction form
    330,650/720,349 = 720,349/x
  3. Step 3: Cross multiply
    330,650x = 720,349 × 720,349
  4. Step 4: Simplify right side
    330,650x = 518,902,681,801
  5. Step 5: Solve for x
    x = 518,902,681,801/330,650
  6. Step 6: Final answer
    x = 1,569,341.24

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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.