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Finding the Third Proportional to 221,571 and 334,999

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Solution

The third proportional to 221,571 and 334,999 is: 506,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,571 : 334,999 = 334,999 : x
  2. Step 2: Convert to fraction form
    221,571/334,999 = 334,999/x
  3. Step 3: Cross multiply
    221,571x = 334,999 × 334,999
  4. Step 4: Simplify right side
    221,571x = 112,224,330,001
  5. Step 5: Solve for x
    x = 112,224,330,001/221,571
  6. Step 6: Final answer
    x = 506,493.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.