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Finding the Third Proportional to 3,946.50 and 9,137.25

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Solution

The third proportional to 3,946.50 and 9,137.25 is: 21,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.50 : 9,137.25 = 9,137.25 : x
  2. Step 2: Convert to fraction form
    3,946.50/9,137.25 = 9,137.25/x
  3. Step 3: Cross multiply
    3,946.50x = 9,137.25 × 9,137.25
  4. Step 4: Simplify right side
    3,946.50x = 83,489,337.56
  5. Step 5: Solve for x
    x = 83,489,337.56/3,946.50
  6. Step 6: Final answer
    x = 21,155.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.