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Finding the Third Proportional to 10,618 and 23,378

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Solution

The third proportional to 10,618 and 23,378 is: 51,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 23,378 = 23,378 : x
  2. Step 2: Convert to fraction form
    10,618/23,378 = 23,378/x
  3. Step 3: Cross multiply
    10,618x = 23,378 × 23,378
  4. Step 4: Simplify right side
    10,618x = 546,530,884
  5. Step 5: Solve for x
    x = 546,530,884/10,618
  6. Step 6: Final answer
    x = 51,472.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.