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Finding the Third Proportional to 212,463 and 319,189.50

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Solution

The third proportional to 212,463 and 319,189.50 is: 479,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,463 : 319,189.50 = 319,189.50 : x
  2. Step 2: Convert to fraction form
    212,463/319,189.50 = 319,189.50/x
  3. Step 3: Cross multiply
    212,463x = 319,189.50 × 319,189.50
  4. Step 4: Simplify right side
    212,463x = 101,881,936,910.25
  5. Step 5: Solve for x
    x = 101,881,936,910.25/212,463
  6. Step 6: Final answer
    x = 479,527.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.