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Finding the Third Proportional to 19,021 and 38,618

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Solution

The third proportional to 19,021 and 38,618 is: 78,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021 : 38,618 = 38,618 : x
  2. Step 2: Convert to fraction form
    19,021/38,618 = 38,618/x
  3. Step 3: Cross multiply
    19,021x = 38,618 × 38,618
  4. Step 4: Simplify right side
    19,021x = 1,491,349,924
  5. Step 5: Solve for x
    x = 1,491,349,924/19,021
  6. Step 6: Final answer
    x = 78,405.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.