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Finding the Third Proportional to 5,136.75 and 7,657.88

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Solution

The third proportional to 5,136.75 and 7,657.88 is: 11,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.75 : 7,657.88 = 7,657.88 : x
  2. Step 2: Convert to fraction form
    5,136.75/7,657.88 = 7,657.88/x
  3. Step 3: Cross multiply
    5,136.75x = 7,657.88 × 7,657.88
  4. Step 4: Simplify right side
    5,136.75x = 58,643,049.52
  5. Step 5: Solve for x
    x = 58,643,049.52/5,136.75
  6. Step 6: Final answer
    x = 11,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.