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Finding the Third Proportional to 143,309 and 220,980

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Solution

The third proportional to 143,309 and 220,980 is: 340,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,309 : 220,980 = 220,980 : x
  2. Step 2: Convert to fraction form
    143,309/220,980 = 220,980/x
  3. Step 3: Cross multiply
    143,309x = 220,980 × 220,980
  4. Step 4: Simplify right side
    143,309x = 48,832,160,400
  5. Step 5: Solve for x
    x = 48,832,160,400/143,309
  6. Step 6: Final answer
    x = 340,747.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.