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Finding the Third Proportional to 7,781.06 and 11,895.19

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Solution

The third proportional to 7,781.06 and 11,895.19 is: 18,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.06 : 11,895.19 = 11,895.19 : x
  2. Step 2: Convert to fraction form
    7,781.06/11,895.19 = 11,895.19/x
  3. Step 3: Cross multiply
    7,781.06x = 11,895.19 × 11,895.19
  4. Step 4: Simplify right side
    7,781.06x = 141,495,485.66
  5. Step 5: Solve for x
    x = 141,495,485.66/7,781.06
  6. Step 6: Final answer
    x = 18,184.60

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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.