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Finding the Third Proportional to 143,259 and 221,115

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Solution

The third proportional to 143,259 and 221,115 is: 341,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,259 : 221,115 = 221,115 : x
  2. Step 2: Convert to fraction form
    143,259/221,115 = 221,115/x
  3. Step 3: Cross multiply
    143,259x = 221,115 × 221,115
  4. Step 4: Simplify right side
    143,259x = 48,891,843,225
  5. Step 5: Solve for x
    x = 48,891,843,225/143,259
  6. Step 6: Final answer
    x = 341,282.87

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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.