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Finding the Third Proportional to 18,422 and 37,618

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Solution

The third proportional to 18,422 and 37,618 is: 76,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422 : 37,618 = 37,618 : x
  2. Step 2: Convert to fraction form
    18,422/37,618 = 37,618/x
  3. Step 3: Cross multiply
    18,422x = 37,618 × 37,618
  4. Step 4: Simplify right side
    18,422x = 1,415,113,924
  5. Step 5: Solve for x
    x = 1,415,113,924/18,422
  6. Step 6: Final answer
    x = 76,816.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.