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Finding the Third Proportional to 221,530 and 334,939

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Solution

The third proportional to 221,530 and 334,939 is: 506,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,530 : 334,939 = 334,939 : x
  2. Step 2: Convert to fraction form
    221,530/334,939 = 334,939/x
  3. Step 3: Cross multiply
    221,530x = 334,939 × 334,939
  4. Step 4: Simplify right side
    221,530x = 112,184,133,721
  5. Step 5: Solve for x
    x = 112,184,133,721/221,530
  6. Step 6: Final answer
    x = 506,406.06

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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.