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Finding the Third Proportional to 4,734.75 and 9,773.25

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Solution

The third proportional to 4,734.75 and 9,773.25 is: 20,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.75 : 9,773.25 = 9,773.25 : x
  2. Step 2: Convert to fraction form
    4,734.75/9,773.25 = 9,773.25/x
  3. Step 3: Cross multiply
    4,734.75x = 9,773.25 × 9,773.25
  4. Step 4: Simplify right side
    4,734.75x = 95,516,415.56
  5. Step 5: Solve for x
    x = 95,516,415.56/4,734.75
  6. Step 6: Final answer
    x = 20,173.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.