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Finding the Third Proportional to 51,678 and 111,618

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Solution

The third proportional to 51,678 and 111,618 is: 241,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 111,618 = 111,618 : x
  2. Step 2: Convert to fraction form
    51,678/111,618 = 111,618/x
  3. Step 3: Cross multiply
    51,678x = 111,618 × 111,618
  4. Step 4: Simplify right side
    51,678x = 12,458,577,924
  5. Step 5: Solve for x
    x = 12,458,577,924/51,678
  6. Step 6: Final answer
    x = 241,080.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.