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Finding the Third Proportional to 213,962 and 331,310

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Solution

The third proportional to 213,962 and 331,310 is: 513,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,962 : 331,310 = 331,310 : x
  2. Step 2: Convert to fraction form
    213,962/331,310 = 331,310/x
  3. Step 3: Cross multiply
    213,962x = 331,310 × 331,310
  4. Step 4: Simplify right side
    213,962x = 109,766,316,100
  5. Step 5: Solve for x
    x = 109,766,316,100/213,962
  6. Step 6: Final answer
    x = 513,017.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.