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Finding the Third Proportional to 75,795 and 155,961

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Solution

The third proportional to 75,795 and 155,961 is: 320,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,795 : 155,961 = 155,961 : x
  2. Step 2: Convert to fraction form
    75,795/155,961 = 155,961/x
  3. Step 3: Cross multiply
    75,795x = 155,961 × 155,961
  4. Step 4: Simplify right side
    75,795x = 24,323,833,521
  5. Step 5: Solve for x
    x = 24,323,833,521/75,795
  6. Step 6: Final answer
    x = 320,916.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.