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Finding the Third Proportional to 8,357.75 and 18,355.69

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Solution

The third proportional to 8,357.75 and 18,355.69 is: 40,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.75 : 18,355.69 = 18,355.69 : x
  2. Step 2: Convert to fraction form
    8,357.75/18,355.69 = 18,355.69/x
  3. Step 3: Cross multiply
    8,357.75x = 18,355.69 × 18,355.69
  4. Step 4: Simplify right side
    8,357.75x = 336,931,263.60
  5. Step 5: Solve for x
    x = 336,931,263.60/8,357.75
  6. Step 6: Final answer
    x = 40,313.63

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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.