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Finding the Third Proportional to 76,869 and 162,522

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Solution

The third proportional to 76,869 and 162,522 is: 343,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,869 : 162,522 = 162,522 : x
  2. Step 2: Convert to fraction form
    76,869/162,522 = 162,522/x
  3. Step 3: Cross multiply
    76,869x = 162,522 × 162,522
  4. Step 4: Simplify right side
    76,869x = 26,413,400,484
  5. Step 5: Solve for x
    x = 26,413,400,484/76,869
  6. Step 6: Final answer
    x = 343,615.77

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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.