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Finding the Third Proportional to 181,618 and 422,043

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Solution

The third proportional to 181,618 and 422,043 is: 980,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,618 : 422,043 = 422,043 : x
  2. Step 2: Convert to fraction form
    181,618/422,043 = 422,043/x
  3. Step 3: Cross multiply
    181,618x = 422,043 × 422,043
  4. Step 4: Simplify right side
    181,618x = 178,120,293,849
  5. Step 5: Solve for x
    x = 178,120,293,849/181,618
  6. Step 6: Final answer
    x = 980,741.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.