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Finding the Third Proportional to 4,630.50 and 9,027.94

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Solution

The third proportional to 4,630.50 and 9,027.94 is: 17,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.50 : 9,027.94 = 9,027.94 : x
  2. Step 2: Convert to fraction form
    4,630.50/9,027.94 = 9,027.94/x
  3. Step 3: Cross multiply
    4,630.50x = 9,027.94 × 9,027.94
  4. Step 4: Simplify right side
    4,630.50x = 81,503,655.50
  5. Step 5: Solve for x
    x = 81,503,655.50/4,630.50
  6. Step 6: Final answer
    x = 17,601.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.