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Finding the Third Proportional to 7,136.25 and 11,136.38

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Solution

The third proportional to 7,136.25 and 11,136.38 is: 17,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.25 : 11,136.38 = 11,136.38 : x
  2. Step 2: Convert to fraction form
    7,136.25/11,136.38 = 11,136.38/x
  3. Step 3: Cross multiply
    7,136.25x = 11,136.38 × 11,136.38
  4. Step 4: Simplify right side
    7,136.25x = 124,018,848.14
  5. Step 5: Solve for x
    x = 124,018,848.14/7,136.25
  6. Step 6: Final answer
    x = 17,378.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.