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Finding the Third Proportional to 142,649 and 220,767

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Solution

The third proportional to 142,649 and 220,767 is: 341,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649 : 220,767 = 220,767 : x
  2. Step 2: Convert to fraction form
    142,649/220,767 = 220,767/x
  3. Step 3: Cross multiply
    142,649x = 220,767 × 220,767
  4. Step 4: Simplify right side
    142,649x = 48,738,068,289
  5. Step 5: Solve for x
    x = 48,738,068,289/142,649
  6. Step 6: Final answer
    x = 341,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.