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Finding the Third Proportional to 76,618 and 115,019

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Solution

The third proportional to 76,618 and 115,019 is: 172,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,618 : 115,019 = 115,019 : x
  2. Step 2: Convert to fraction form
    76,618/115,019 = 115,019/x
  3. Step 3: Cross multiply
    76,618x = 115,019 × 115,019
  4. Step 4: Simplify right side
    76,618x = 13,229,370,361
  5. Step 5: Solve for x
    x = 13,229,370,361/76,618
  6. Step 6: Final answer
    x = 172,666.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.