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Finding the Third Proportional to 76,550 and 162,366

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Solution

The third proportional to 76,550 and 162,366 is: 344,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550 : 162,366 = 162,366 : x
  2. Step 2: Convert to fraction form
    76,550/162,366 = 162,366/x
  3. Step 3: Cross multiply
    76,550x = 162,366 × 162,366
  4. Step 4: Simplify right side
    76,550x = 26,362,717,956
  5. Step 5: Solve for x
    x = 26,362,717,956/76,550
  6. Step 6: Final answer
    x = 344,385.60

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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.