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Finding the Third Proportional to 338,427 and 505,939

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Solution

The third proportional to 338,427 and 505,939 is: 756,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,427 : 505,939 = 505,939 : x
  2. Step 2: Convert to fraction form
    338,427/505,939 = 505,939/x
  3. Step 3: Cross multiply
    338,427x = 505,939 × 505,939
  4. Step 4: Simplify right side
    338,427x = 255,974,271,721
  5. Step 5: Solve for x
    x = 255,974,271,721/338,427
  6. Step 6: Final answer
    x = 756,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.