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Finding the Third Proportional to 8,641.69 and 18,576.21

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Solution

The third proportional to 8,641.69 and 18,576.21 is: 39,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 18,576.21 = 18,576.21 : x
  2. Step 2: Convert to fraction form
    8,641.69/18,576.21 = 18,576.21/x
  3. Step 3: Cross multiply
    8,641.69x = 18,576.21 × 18,576.21
  4. Step 4: Simplify right side
    8,641.69x = 345,075,612.79
  5. Step 5: Solve for x
    x = 345,075,612.79/8,641.69
  6. Step 6: Final answer
    x = 39,931.51

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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.