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Finding the Third Proportional to 221,261 and 351,800

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Solution

The third proportional to 221,261 and 351,800 is: 559,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,261 : 351,800 = 351,800 : x
  2. Step 2: Convert to fraction form
    221,261/351,800 = 351,800/x
  3. Step 3: Cross multiply
    221,261x = 351,800 × 351,800
  4. Step 4: Simplify right side
    221,261x = 123,763,240,000
  5. Step 5: Solve for x
    x = 123,763,240,000/221,261
  6. Step 6: Final answer
    x = 559,354.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.