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Finding the Third Proportional to 4,020.19 and 8,711.16

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Solution

The third proportional to 4,020.19 and 8,711.16 is: 18,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.19 : 8,711.16 = 8,711.16 : x
  2. Step 2: Convert to fraction form
    4,020.19/8,711.16 = 8,711.16/x
  3. Step 3: Cross multiply
    4,020.19x = 8,711.16 × 8,711.16
  4. Step 4: Simplify right side
    4,020.19x = 75,884,243.21
  5. Step 5: Solve for x
    x = 75,884,243.21/4,020.19
  6. Step 6: Final answer
    x = 18,875.80

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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.