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Finding the Third Proportional to 143,441 and 221,210

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Solution

The third proportional to 143,441 and 221,210 is: 341,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,441 : 221,210 = 221,210 : x
  2. Step 2: Convert to fraction form
    143,441/221,210 = 221,210/x
  3. Step 3: Cross multiply
    143,441x = 221,210 × 221,210
  4. Step 4: Simplify right side
    143,441x = 48,933,864,100
  5. Step 5: Solve for x
    x = 48,933,864,100/143,441
  6. Step 6: Final answer
    x = 341,142.80

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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.