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Finding the Third Proportional to 5,119.31 and 7,827.75

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Solution

The third proportional to 5,119.31 and 7,827.75 is: 11,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.31 : 7,827.75 = 7,827.75 : x
  2. Step 2: Convert to fraction form
    5,119.31/7,827.75 = 7,827.75/x
  3. Step 3: Cross multiply
    5,119.31x = 7,827.75 × 7,827.75
  4. Step 4: Simplify right side
    5,119.31x = 61,273,670.06
  5. Step 5: Solve for x
    x = 61,273,670.06/5,119.31
  6. Step 6: Final answer
    x = 11,969.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.