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Finding the Third Proportional to 101,974.50 and 220,897.69

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Solution

The third proportional to 101,974.50 and 220,897.69 is: 478,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.50 : 220,897.69 = 220,897.69 : x
  2. Step 2: Convert to fraction form
    101,974.50/220,897.69 = 220,897.69/x
  3. Step 3: Cross multiply
    101,974.50x = 220,897.69 × 220,897.69
  4. Step 4: Simplify right side
    101,974.50x = 48,795,788,342.85
  5. Step 5: Solve for x
    x = 48,795,788,342.85/101,974.50
  6. Step 6: Final answer
    x = 478,509.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.