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Finding the Third Proportional to 141,933.38 and 309,988.88

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Solution

The third proportional to 141,933.38 and 309,988.88 is: 677,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,933.38 : 309,988.88 = 309,988.88 : x
  2. Step 2: Convert to fraction form
    141,933.38/309,988.88 = 309,988.88/x
  3. Step 3: Cross multiply
    141,933.38x = 309,988.88 × 309,988.88
  4. Step 4: Simplify right side
    141,933.38x = 96,093,102,623.77
  5. Step 5: Solve for x
    x = 96,093,102,623.77/141,933.38
  6. Step 6: Final answer
    x = 677,029.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.