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Finding the Third Proportional to 141,919.50 and 212,900.25

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Solution

The third proportional to 141,919.50 and 212,900.25 is: 319,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,919.50 : 212,900.25 = 212,900.25 : x
  2. Step 2: Convert to fraction form
    141,919.50/212,900.25 = 212,900.25/x
  3. Step 3: Cross multiply
    141,919.50x = 212,900.25 × 212,900.25
  4. Step 4: Simplify right side
    141,919.50x = 45,326,516,450.06
  5. Step 5: Solve for x
    x = 45,326,516,450.06/141,919.50
  6. Step 6: Final answer
    x = 319,381.88

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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.