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Finding the Third Proportional to 102,213 and 143,231

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Solution

The third proportional to 102,213 and 143,231 is: 200,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213 : 143,231 = 143,231 : x
  2. Step 2: Convert to fraction form
    102,213/143,231 = 143,231/x
  3. Step 3: Cross multiply
    102,213x = 143,231 × 143,231
  4. Step 4: Simplify right side
    102,213x = 20,515,119,361
  5. Step 5: Solve for x
    x = 20,515,119,361/102,213
  6. Step 6: Final answer
    x = 200,709.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.