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Finding the Third Proportional to 338,250 and 520,091

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Solution

The third proportional to 338,250 and 520,091 is: 799,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,250 : 520,091 = 520,091 : x
  2. Step 2: Convert to fraction form
    338,250/520,091 = 520,091/x
  3. Step 3: Cross multiply
    338,250x = 520,091 × 520,091
  4. Step 4: Simplify right side
    338,250x = 270,494,648,281
  5. Step 5: Solve for x
    x = 270,494,648,281/338,250
  6. Step 6: Final answer
    x = 799,688.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.