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Finding the Third Proportional to 8,574 and 18,787

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Solution

The third proportional to 8,574 and 18,787 is: 41,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 18,787 = 18,787 : x
  2. Step 2: Convert to fraction form
    8,574/18,787 = 18,787/x
  3. Step 3: Cross multiply
    8,574x = 18,787 × 18,787
  4. Step 4: Simplify right side
    8,574x = 352,951,369
  5. Step 5: Solve for x
    x = 352,951,369/8,574
  6. Step 6: Final answer
    x = 41,165.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.