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Finding the Third Proportional to 143,307 and 220,977

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Solution

The third proportional to 143,307 and 220,977 is: 340,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,307 : 220,977 = 220,977 : x
  2. Step 2: Convert to fraction form
    143,307/220,977 = 220,977/x
  3. Step 3: Cross multiply
    143,307x = 220,977 × 220,977
  4. Step 4: Simplify right side
    143,307x = 48,830,834,529
  5. Step 5: Solve for x
    x = 48,830,834,529/143,307
  6. Step 6: Final answer
    x = 340,742.84

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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.