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Finding the Third Proportional to 6,291.42 and 12,894.19

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Solution

The third proportional to 6,291.42 and 12,894.19 is: 26,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.42 : 12,894.19 = 12,894.19 : x
  2. Step 2: Convert to fraction form
    6,291.42/12,894.19 = 12,894.19/x
  3. Step 3: Cross multiply
    6,291.42x = 12,894.19 × 12,894.19
  4. Step 4: Simplify right side
    6,291.42x = 166,260,071.29
  5. Step 5: Solve for x
    x = 166,260,071.29/6,291.42
  6. Step 6: Final answer
    x = 26,426.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.