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Finding the Third Proportional to 8,582.63 and 18,218.25

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Solution

The third proportional to 8,582.63 and 18,218.25 is: 38,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.63 : 18,218.25 = 18,218.25 : x
  2. Step 2: Convert to fraction form
    8,582.63/18,218.25 = 18,218.25/x
  3. Step 3: Cross multiply
    8,582.63x = 18,218.25 × 18,218.25
  4. Step 4: Simplify right side
    8,582.63x = 331,904,633.06
  5. Step 5: Solve for x
    x = 331,904,633.06/8,582.63
  6. Step 6: Final answer
    x = 38,671.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.