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Finding the Third Proportional to 214,197 and 284,328

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Solution

The third proportional to 214,197 and 284,328 is: 377,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,197 : 284,328 = 284,328 : x
  2. Step 2: Convert to fraction form
    214,197/284,328 = 284,328/x
  3. Step 3: Cross multiply
    214,197x = 284,328 × 284,328
  4. Step 4: Simplify right side
    214,197x = 80,842,411,584
  5. Step 5: Solve for x
    x = 80,842,411,584/214,197
  6. Step 6: Final answer
    x = 377,420.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.