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Finding the Third Proportional to 8,742.94 and 18,867.94

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Solution

The third proportional to 8,742.94 and 18,867.94 is: 40,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.94 : 18,867.94 = 18,867.94 : x
  2. Step 2: Convert to fraction form
    8,742.94/18,867.94 = 18,867.94/x
  3. Step 3: Cross multiply
    8,742.94x = 18,867.94 × 18,867.94
  4. Step 4: Simplify right side
    8,742.94x = 355,999,065.50
  5. Step 5: Solve for x
    x = 355,999,065.50/8,742.94
  6. Step 6: Final answer
    x = 40,718.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.