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Finding the Third Proportional to 221,820 and 340,950

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Solution

The third proportional to 221,820 and 340,950 is: 524,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820 : 340,950 = 340,950 : x
  2. Step 2: Convert to fraction form
    221,820/340,950 = 340,950/x
  3. Step 3: Cross multiply
    221,820x = 340,950 × 340,950
  4. Step 4: Simplify right side
    221,820x = 116,246,902,500
  5. Step 5: Solve for x
    x = 116,246,902,500/221,820
  6. Step 6: Final answer
    x = 524,059.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.