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Finding the Third Proportional to 76,775 and 161,953

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Solution

The third proportional to 76,775 and 161,953 is: 341,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775 : 161,953 = 161,953 : x
  2. Step 2: Convert to fraction form
    76,775/161,953 = 161,953/x
  3. Step 3: Cross multiply
    76,775x = 161,953 × 161,953
  4. Step 4: Simplify right side
    76,775x = 26,228,774,209
  5. Step 5: Solve for x
    x = 26,228,774,209/76,775
  6. Step 6: Final answer
    x = 341,631.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.