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Finding the Third Proportional to 5,181.19 and 7,967.81

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Solution

The third proportional to 5,181.19 and 7,967.81 is: 12,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.19 : 7,967.81 = 7,967.81 : x
  2. Step 2: Convert to fraction form
    5,181.19/7,967.81 = 7,967.81/x
  3. Step 3: Cross multiply
    5,181.19x = 7,967.81 × 7,967.81
  4. Step 4: Simplify right side
    5,181.19x = 63,486,036.04
  5. Step 5: Solve for x
    x = 63,486,036.04/5,181.19
  6. Step 6: Final answer
    x = 12,253.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.