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Finding the Third Proportional to 4,026.50 and 8,742.50

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Solution

The third proportional to 4,026.50 and 8,742.50 is: 18,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.50 : 8,742.50 = 8,742.50 : x
  2. Step 2: Convert to fraction form
    4,026.50/8,742.50 = 8,742.50/x
  3. Step 3: Cross multiply
    4,026.50x = 8,742.50 × 8,742.50
  4. Step 4: Simplify right side
    4,026.50x = 76,431,306.25
  5. Step 5: Solve for x
    x = 76,431,306.25/4,026.50
  6. Step 6: Final answer
    x = 18,982.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.