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Finding the Third Proportional to 165,671 and 220,728.50

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Solution

The third proportional to 165,671 and 220,728.50 is: 294,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,671 : 220,728.50 = 220,728.50 : x
  2. Step 2: Convert to fraction form
    165,671/220,728.50 = 220,728.50/x
  3. Step 3: Cross multiply
    165,671x = 220,728.50 × 220,728.50
  4. Step 4: Simplify right side
    165,671x = 48,721,070,712.25
  5. Step 5: Solve for x
    x = 48,721,070,712.25/165,671
  6. Step 6: Final answer
    x = 294,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.