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Finding the Third Proportional to 336,859 and 720,391

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Solution

The third proportional to 336,859 and 720,391 is: 1,540,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,859 : 720,391 = 720,391 : x
  2. Step 2: Convert to fraction form
    336,859/720,391 = 720,391/x
  3. Step 3: Cross multiply
    336,859x = 720,391 × 720,391
  4. Step 4: Simplify right side
    336,859x = 518,963,192,881
  5. Step 5: Solve for x
    x = 518,963,192,881/336,859
  6. Step 6: Final answer
    x = 1,540,594.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.