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Finding the Third Proportional to 100,765.50 and 219,951.75

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Solution

The third proportional to 100,765.50 and 219,951.75 is: 480,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,765.50 : 219,951.75 = 219,951.75 : x
  2. Step 2: Convert to fraction form
    100,765.50/219,951.75 = 219,951.75/x
  3. Step 3: Cross multiply
    100,765.50x = 219,951.75 × 219,951.75
  4. Step 4: Simplify right side
    100,765.50x = 48,378,772,328.06
  5. Step 5: Solve for x
    x = 48,378,772,328.06/100,765.50
  6. Step 6: Final answer
    x = 480,112.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.