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Finding the Third Proportional to 8,357.06 and 18,354.47

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Solution

The third proportional to 8,357.06 and 18,354.47 is: 40,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.06 : 18,354.47 = 18,354.47 : x
  2. Step 2: Convert to fraction form
    8,357.06/18,354.47 = 18,354.47/x
  3. Step 3: Cross multiply
    8,357.06x = 18,354.47 × 18,354.47
  4. Step 4: Simplify right side
    8,357.06x = 336,886,523.09
  5. Step 5: Solve for x
    x = 336,886,523.09/8,357.06
  6. Step 6: Final answer
    x = 40,311.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.