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Finding the Third Proportional to 77,277 and 161,250

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Solution

The third proportional to 77,277 and 161,250 is: 336,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277 : 161,250 = 161,250 : x
  2. Step 2: Convert to fraction form
    77,277/161,250 = 161,250/x
  3. Step 3: Cross multiply
    77,277x = 161,250 × 161,250
  4. Step 4: Simplify right side
    77,277x = 26,001,562,500
  5. Step 5: Solve for x
    x = 26,001,562,500/77,277
  6. Step 6: Final answer
    x = 336,472.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.