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Finding the Third Proportional to 122,230 and 270,705

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Solution

The third proportional to 122,230 and 270,705 is: 599,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,230 : 270,705 = 270,705 : x
  2. Step 2: Convert to fraction form
    122,230/270,705 = 270,705/x
  3. Step 3: Cross multiply
    122,230x = 270,705 × 270,705
  4. Step 4: Simplify right side
    122,230x = 73,281,197,025
  5. Step 5: Solve for x
    x = 73,281,197,025/122,230
  6. Step 6: Final answer
    x = 599,535.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.