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Finding the Third Proportional to 143,093 and 310,791

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Solution

The third proportional to 143,093 and 310,791 is: 675,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,093 : 310,791 = 310,791 : x
  2. Step 2: Convert to fraction form
    143,093/310,791 = 310,791/x
  3. Step 3: Cross multiply
    143,093x = 310,791 × 310,791
  4. Step 4: Simplify right side
    143,093x = 96,591,045,681
  5. Step 5: Solve for x
    x = 96,591,045,681/143,093
  6. Step 6: Final answer
    x = 675,022.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.