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Finding the Third Proportional to 101,190 and 219,145.50

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Solution

The third proportional to 101,190 and 219,145.50 is: 474,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,190 : 219,145.50 = 219,145.50 : x
  2. Step 2: Convert to fraction form
    101,190/219,145.50 = 219,145.50/x
  3. Step 3: Cross multiply
    101,190x = 219,145.50 × 219,145.50
  4. Step 4: Simplify right side
    101,190x = 48,024,750,170.25
  5. Step 5: Solve for x
    x = 48,024,750,170.25/101,190
  6. Step 6: Final answer
    x = 474,599.76

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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.