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Finding the Third Proportional to 5,091.19 and 7,690.78

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Solution

The third proportional to 5,091.19 and 7,690.78 is: 11,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.19 : 7,690.78 = 7,690.78 : x
  2. Step 2: Convert to fraction form
    5,091.19/7,690.78 = 7,690.78/x
  3. Step 3: Cross multiply
    5,091.19x = 7,690.78 × 7,690.78
  4. Step 4: Simplify right side
    5,091.19x = 59,148,116.24
  5. Step 5: Solve for x
    x = 59,148,116.24/5,091.19
  6. Step 6: Final answer
    x = 11,617.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.