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Finding the Third Proportional to 81,618 and 173,036

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Solution

The third proportional to 81,618 and 173,036 is: 366,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,618 : 173,036 = 173,036 : x
  2. Step 2: Convert to fraction form
    81,618/173,036 = 173,036/x
  3. Step 3: Cross multiply
    81,618x = 173,036 × 173,036
  4. Step 4: Simplify right side
    81,618x = 29,941,457,296
  5. Step 5: Solve for x
    x = 29,941,457,296/81,618
  6. Step 6: Final answer
    x = 366,848.70

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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.