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Finding the Third Proportional to 7,778 and 17,136

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Solution

The third proportional to 7,778 and 17,136 is: 37,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 17,136 = 17,136 : x
  2. Step 2: Convert to fraction form
    7,778/17,136 = 17,136/x
  3. Step 3: Cross multiply
    7,778x = 17,136 × 17,136
  4. Step 4: Simplify right side
    7,778x = 293,642,496
  5. Step 5: Solve for x
    x = 293,642,496/7,778
  6. Step 6: Final answer
    x = 37,752.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.