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Finding the Third Proportional to 75,406 and 165,715

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Solution

The third proportional to 75,406 and 165,715 is: 364,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406 : 165,715 = 165,715 : x
  2. Step 2: Convert to fraction form
    75,406/165,715 = 165,715/x
  3. Step 3: Cross multiply
    75,406x = 165,715 × 165,715
  4. Step 4: Simplify right side
    75,406x = 27,461,461,225
  5. Step 5: Solve for x
    x = 27,461,461,225/75,406
  6. Step 6: Final answer
    x = 364,181.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.