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Finding the Third Proportional to 101,128.50 and 219,084.75

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Solution

The third proportional to 101,128.50 and 219,084.75 is: 474,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128.50 : 219,084.75 = 219,084.75 : x
  2. Step 2: Convert to fraction form
    101,128.50/219,084.75 = 219,084.75/x
  3. Step 3: Cross multiply
    101,128.50x = 219,084.75 × 219,084.75
  4. Step 4: Simplify right side
    101,128.50x = 47,998,127,682.56
  5. Step 5: Solve for x
    x = 47,998,127,682.56/101,128.50
  6. Step 6: Final answer
    x = 474,625.13

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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.