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Finding the Third Proportional to 140,161.50 and 220,284

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Solution

The third proportional to 140,161.50 and 220,284 is: 346,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,161.50 : 220,284 = 220,284 : x
  2. Step 2: Convert to fraction form
    140,161.50/220,284 = 220,284/x
  3. Step 3: Cross multiply
    140,161.50x = 220,284 × 220,284
  4. Step 4: Simplify right side
    140,161.50x = 48,525,040,656
  5. Step 5: Solve for x
    x = 48,525,040,656/140,161.50
  6. Step 6: Final answer
    x = 346,208.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.