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Finding the Third Proportional to 141,310 and 213,405

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Solution

The third proportional to 141,310 and 213,405 is: 322,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,310 : 213,405 = 213,405 : x
  2. Step 2: Convert to fraction form
    141,310/213,405 = 213,405/x
  3. Step 3: Cross multiply
    141,310x = 213,405 × 213,405
  4. Step 4: Simplify right side
    141,310x = 45,541,694,025
  5. Step 5: Solve for x
    x = 45,541,694,025/141,310
  6. Step 6: Final answer
    x = 322,282.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.