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Finding the Third Proportional to 21,618 and 47,022

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Solution

The third proportional to 21,618 and 47,022 is: 102,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618 : 47,022 = 47,022 : x
  2. Step 2: Convert to fraction form
    21,618/47,022 = 47,022/x
  3. Step 3: Cross multiply
    21,618x = 47,022 × 47,022
  4. Step 4: Simplify right side
    21,618x = 2,211,068,484
  5. Step 5: Solve for x
    x = 2,211,068,484/21,618
  6. Step 6: Final answer
    x = 102,279.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.