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Finding the Third Proportional to 4,978 and 7,697

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Solution

The third proportional to 4,978 and 7,697 is: 11,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 7,697 = 7,697 : x
  2. Step 2: Convert to fraction form
    4,978/7,697 = 7,697/x
  3. Step 3: Cross multiply
    4,978x = 7,697 × 7,697
  4. Step 4: Simplify right side
    4,978x = 59,243,809
  5. Step 5: Solve for x
    x = 59,243,809/4,978
  6. Step 6: Final answer
    x = 11,901.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.