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Finding the Third Proportional to 143,992.69 and 310,060.41

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Solution

The third proportional to 143,992.69 and 310,060.41 is: 667,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,992.69 : 310,060.41 = 310,060.41 : x
  2. Step 2: Convert to fraction form
    143,992.69/310,060.41 = 310,060.41/x
  3. Step 3: Cross multiply
    143,992.69x = 310,060.41 × 310,060.41
  4. Step 4: Simplify right side
    143,992.69x = 96,137,455,523.92
  5. Step 5: Solve for x
    x = 96,137,455,523.92/143,992.69
  6. Step 6: Final answer
    x = 667,655.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.