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Finding the Third Proportional to 8,585.58 and 18,106.45

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Solution

The third proportional to 8,585.58 and 18,106.45 is: 38,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.58 : 18,106.45 = 18,106.45 : x
  2. Step 2: Convert to fraction form
    8,585.58/18,106.45 = 18,106.45/x
  3. Step 3: Cross multiply
    8,585.58x = 18,106.45 × 18,106.45
  4. Step 4: Simplify right side
    8,585.58x = 327,843,644.77
  5. Step 5: Solve for x
    x = 327,843,644.77/8,585.58
  6. Step 6: Final answer
    x = 38,185.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.