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Finding the Third Proportional to 221,670 and 334,833

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Solution

The third proportional to 221,670 and 334,833 is: 505,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,670 : 334,833 = 334,833 : x
  2. Step 2: Convert to fraction form
    221,670/334,833 = 334,833/x
  3. Step 3: Cross multiply
    221,670x = 334,833 × 334,833
  4. Step 4: Simplify right side
    221,670x = 112,113,137,889
  5. Step 5: Solve for x
    x = 112,113,137,889/221,670
  6. Step 6: Final answer
    x = 505,765.95

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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.