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Finding the Third Proportional to 4,035.45 and 8,689.15

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Solution

The third proportional to 4,035.45 and 8,689.15 is: 18,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035.45 : 8,689.15 = 8,689.15 : x
  2. Step 2: Convert to fraction form
    4,035.45/8,689.15 = 8,689.15/x
  3. Step 3: Cross multiply
    4,035.45x = 8,689.15 × 8,689.15
  4. Step 4: Simplify right side
    4,035.45x = 75,501,300.57
  5. Step 5: Solve for x
    x = 75,501,300.57/4,035.45
  6. Step 6: Final answer
    x = 18,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.