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Finding the Third Proportional to 165,661.50 and 220,715

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Solution

The third proportional to 165,661.50 and 220,715 is: 294,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,661.50 : 220,715 = 220,715 : x
  2. Step 2: Convert to fraction form
    165,661.50/220,715 = 220,715/x
  3. Step 3: Cross multiply
    165,661.50x = 220,715 × 220,715
  4. Step 4: Simplify right side
    165,661.50x = 48,715,111,225
  5. Step 5: Solve for x
    x = 48,715,111,225/165,661.50
  6. Step 6: Final answer
    x = 294,064.17

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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.