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Finding the Third Proportional to 221,764.50 and 339,298.50

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Solution

The third proportional to 221,764.50 and 339,298.50 is: 519,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,764.50 : 339,298.50 = 339,298.50 : x
  2. Step 2: Convert to fraction form
    221,764.50/339,298.50 = 339,298.50/x
  3. Step 3: Cross multiply
    221,764.50x = 339,298.50 × 339,298.50
  4. Step 4: Simplify right side
    221,764.50x = 115,123,472,102.25
  5. Step 5: Solve for x
    x = 115,123,472,102.25/221,764.50
  6. Step 6: Final answer
    x = 519,124.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.