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Finding the Third Proportional to 220,419.98 and 329,775.68

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Solution

The third proportional to 220,419.98 and 329,775.68 is: 493,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,419.98 : 329,775.68 = 329,775.68 : x
  2. Step 2: Convert to fraction form
    220,419.98/329,775.68 = 329,775.68/x
  3. Step 3: Cross multiply
    220,419.98x = 329,775.68 × 329,775.68
  4. Step 4: Simplify right side
    220,419.98x = 108,751,998,913.35
  5. Step 5: Solve for x
    x = 108,751,998,913.35/220,419.98
  6. Step 6: Final answer
    x = 493,385.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.