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Finding the Third Proportional to 39,618 and 82,515

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Solution

The third proportional to 39,618 and 82,515 is: 171,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 82,515 = 82,515 : x
  2. Step 2: Convert to fraction form
    39,618/82,515 = 82,515/x
  3. Step 3: Cross multiply
    39,618x = 82,515 × 82,515
  4. Step 4: Simplify right side
    39,618x = 6,808,725,225
  5. Step 5: Solve for x
    x = 6,808,725,225/39,618
  6. Step 6: Final answer
    x = 171,859.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.