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Finding the Third Proportional to 213,111 and 284,310

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Solution

The third proportional to 213,111 and 284,310 is: 379,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,111 : 284,310 = 284,310 : x
  2. Step 2: Convert to fraction form
    213,111/284,310 = 284,310/x
  3. Step 3: Cross multiply
    213,111x = 284,310 × 284,310
  4. Step 4: Simplify right side
    213,111x = 80,832,176,100
  5. Step 5: Solve for x
    x = 80,832,176,100/213,111
  6. Step 6: Final answer
    x = 379,296.12

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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.