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Finding the Third Proportional to 5,010 and 7,756.75

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Solution

The third proportional to 5,010 and 7,756.75 is: 12,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010 : 7,756.75 = 7,756.75 : x
  2. Step 2: Convert to fraction form
    5,010/7,756.75 = 7,756.75/x
  3. Step 3: Cross multiply
    5,010x = 7,756.75 × 7,756.75
  4. Step 4: Simplify right side
    5,010x = 60,167,170.56
  5. Step 5: Solve for x
    x = 60,167,170.56/5,010
  6. Step 6: Final answer
    x = 12,009.42

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Why These Related Problems?

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