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Finding the Third Proportional to 221,005 and 339,897.50

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Solution

The third proportional to 221,005 and 339,897.50 is: 522,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005 : 339,897.50 = 339,897.50 : x
  2. Step 2: Convert to fraction form
    221,005/339,897.50 = 339,897.50/x
  3. Step 3: Cross multiply
    221,005x = 339,897.50 × 339,897.50
  4. Step 4: Simplify right side
    221,005x = 115,530,310,506.25
  5. Step 5: Solve for x
    x = 115,530,310,506.25/221,005
  6. Step 6: Final answer
    x = 522,749.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.