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Finding the Third Proportional to 8,730.91 and 18,820.16

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Solution

The third proportional to 8,730.91 and 18,820.16 is: 40,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.91 : 18,820.16 = 18,820.16 : x
  2. Step 2: Convert to fraction form
    8,730.91/18,820.16 = 18,820.16/x
  3. Step 3: Cross multiply
    8,730.91x = 18,820.16 × 18,820.16
  4. Step 4: Simplify right side
    8,730.91x = 354,198,428.31
  5. Step 5: Solve for x
    x = 354,198,428.31/8,730.91
  6. Step 6: Final answer
    x = 40,568.31

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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.