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Finding the Third Proportional to 336,881 and 495,469

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Solution

The third proportional to 336,881 and 495,469 is: 728,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,881 : 495,469 = 495,469 : x
  2. Step 2: Convert to fraction form
    336,881/495,469 = 495,469/x
  3. Step 3: Cross multiply
    336,881x = 495,469 × 495,469
  4. Step 4: Simplify right side
    336,881x = 245,489,529,961
  5. Step 5: Solve for x
    x = 245,489,529,961/336,881
  6. Step 6: Final answer
    x = 728,712.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.