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Finding the Third Proportional to 8,987 and 18,905

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Solution

The third proportional to 8,987 and 18,905 is: 39,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987 : 18,905 = 18,905 : x
  2. Step 2: Convert to fraction form
    8,987/18,905 = 18,905/x
  3. Step 3: Cross multiply
    8,987x = 18,905 × 18,905
  4. Step 4: Simplify right side
    8,987x = 357,399,025
  5. Step 5: Solve for x
    x = 357,399,025/8,987
  6. Step 6: Final answer
    x = 39,768.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.