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Finding the Third Proportional to 4,518.28 and 9,729.49

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Solution

The third proportional to 4,518.28 and 9,729.49 is: 20,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518.28 : 9,729.49 = 9,729.49 : x
  2. Step 2: Convert to fraction form
    4,518.28/9,729.49 = 9,729.49/x
  3. Step 3: Cross multiply
    4,518.28x = 9,729.49 × 9,729.49
  4. Step 4: Simplify right side
    4,518.28x = 94,663,018.23
  5. Step 5: Solve for x
    x = 94,663,018.23/4,518.28
  6. Step 6: Final answer
    x = 20,951.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.