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Finding the Third Proportional to 338,110 and 523,260

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Solution

The third proportional to 338,110 and 523,260 is: 809,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,110 : 523,260 = 523,260 : x
  2. Step 2: Convert to fraction form
    338,110/523,260 = 523,260/x
  3. Step 3: Cross multiply
    338,110x = 523,260 × 523,260
  4. Step 4: Simplify right side
    338,110x = 273,801,027,600
  5. Step 5: Solve for x
    x = 273,801,027,600/338,110
  6. Step 6: Final answer
    x = 809,798.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.