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Finding the Third Proportional to 221,319 and 474,195

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Solution

The third proportional to 221,319 and 474,195 is: 1,016,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,319 : 474,195 = 474,195 : x
  2. Step 2: Convert to fraction form
    221,319/474,195 = 474,195/x
  3. Step 3: Cross multiply
    221,319x = 474,195 × 474,195
  4. Step 4: Simplify right side
    221,319x = 224,860,898,025
  5. Step 5: Solve for x
    x = 224,860,898,025/221,319
  6. Step 6: Final answer
    x = 1,016,003.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.