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Finding the Third Proportional to 76,854 and 162,828

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Solution

The third proportional to 76,854 and 162,828 is: 344,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 162,828 = 162,828 : x
  2. Step 2: Convert to fraction form
    76,854/162,828 = 162,828/x
  3. Step 3: Cross multiply
    76,854x = 162,828 × 162,828
  4. Step 4: Simplify right side
    76,854x = 26,512,957,584
  5. Step 5: Solve for x
    x = 26,512,957,584/76,854
  6. Step 6: Final answer
    x = 344,978.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.