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Finding the Third Proportional to 76,618 and 162,451

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Solution

The third proportional to 76,618 and 162,451 is: 344,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,618 : 162,451 = 162,451 : x
  2. Step 2: Convert to fraction form
    76,618/162,451 = 162,451/x
  3. Step 3: Cross multiply
    76,618x = 162,451 × 162,451
  4. Step 4: Simplify right side
    76,618x = 26,390,327,401
  5. Step 5: Solve for x
    x = 26,390,327,401/76,618
  6. Step 6: Final answer
    x = 344,440.31

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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.