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Finding the Third Proportional to 76,560 and 162,396

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Solution

The third proportional to 76,560 and 162,396 is: 344,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,560 : 162,396 = 162,396 : x
  2. Step 2: Convert to fraction form
    76,560/162,396 = 162,396/x
  3. Step 3: Cross multiply
    76,560x = 162,396 × 162,396
  4. Step 4: Simplify right side
    76,560x = 26,372,460,816
  5. Step 5: Solve for x
    x = 26,372,460,816/76,560
  6. Step 6: Final answer
    x = 344,467.88

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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.