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Finding the Third Proportional to 4,065.19 and 8,634.09

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Solution

The third proportional to 4,065.19 and 8,634.09 is: 18,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.19 : 8,634.09 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    4,065.19/8,634.09 = 8,634.09/x
  3. Step 3: Cross multiply
    4,065.19x = 8,634.09 × 8,634.09
  4. Step 4: Simplify right side
    4,065.19x = 74,547,574.88
  5. Step 5: Solve for x
    x = 74,547,574.88/4,065.19
  6. Step 6: Final answer
    x = 18,338.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.