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Finding the Third Proportional to 322,470 and 683,355

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Solution

The third proportional to 322,470 and 683,355 is: 1,448,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,470 : 683,355 = 683,355 : x
  2. Step 2: Convert to fraction form
    322,470/683,355 = 683,355/x
  3. Step 3: Cross multiply
    322,470x = 683,355 × 683,355
  4. Step 4: Simplify right side
    322,470x = 466,974,056,025
  5. Step 5: Solve for x
    x = 466,974,056,025/322,470
  6. Step 6: Final answer
    x = 1,448,116.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.