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Finding the Third Proportional to 7,778 and 18,097

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Solution

The third proportional to 7,778 and 18,097 is: 42,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 18,097 = 18,097 : x
  2. Step 2: Convert to fraction form
    7,778/18,097 = 18,097/x
  3. Step 3: Cross multiply
    7,778x = 18,097 × 18,097
  4. Step 4: Simplify right side
    7,778x = 327,501,409
  5. Step 5: Solve for x
    x = 327,501,409/7,778
  6. Step 6: Final answer
    x = 42,106.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.