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Finding the Third Proportional to 354,640 and 530,705

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Solution

The third proportional to 354,640 and 530,705 is: 794,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,640 : 530,705 = 530,705 : x
  2. Step 2: Convert to fraction form
    354,640/530,705 = 530,705/x
  3. Step 3: Cross multiply
    354,640x = 530,705 × 530,705
  4. Step 4: Simplify right side
    354,640x = 281,647,797,025
  5. Step 5: Solve for x
    x = 281,647,797,025/354,640
  6. Step 6: Final answer
    x = 794,179.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.