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Finding the Third Proportional to 77,406 and 162,228

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Solution

The third proportional to 77,406 and 162,228 is: 339,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406 : 162,228 = 162,228 : x
  2. Step 2: Convert to fraction form
    77,406/162,228 = 162,228/x
  3. Step 3: Cross multiply
    77,406x = 162,228 × 162,228
  4. Step 4: Simplify right side
    77,406x = 26,317,923,984
  5. Step 5: Solve for x
    x = 26,317,923,984/77,406
  6. Step 6: Final answer
    x = 339,998.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.