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Finding the Third Proportional to 141,922 and 212,903

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Solution

The third proportional to 141,922 and 212,903 is: 319,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,922 : 212,903 = 212,903 : x
  2. Step 2: Convert to fraction form
    141,922/212,903 = 212,903/x
  3. Step 3: Cross multiply
    141,922x = 212,903 × 212,903
  4. Step 4: Simplify right side
    141,922x = 45,327,687,409
  5. Step 5: Solve for x
    x = 45,327,687,409/141,922
  6. Step 6: Final answer
    x = 319,384.50

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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.