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Finding the Third Proportional to 4,136.25 and 9,135.75

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Solution

The third proportional to 4,136.25 and 9,135.75 is: 20,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.25 : 9,135.75 = 9,135.75 : x
  2. Step 2: Convert to fraction form
    4,136.25/9,135.75 = 9,135.75/x
  3. Step 3: Cross multiply
    4,136.25x = 9,135.75 × 9,135.75
  4. Step 4: Simplify right side
    4,136.25x = 83,461,928.06
  5. Step 5: Solve for x
    x = 83,461,928.06/4,136.25
  6. Step 6: Final answer
    x = 20,178.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.