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Finding the Third Proportional to 338,716 and 510,944

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Solution

The third proportional to 338,716 and 510,944 is: 770,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,716 : 510,944 = 510,944 : x
  2. Step 2: Convert to fraction form
    338,716/510,944 = 510,944/x
  3. Step 3: Cross multiply
    338,716x = 510,944 × 510,944
  4. Step 4: Simplify right side
    338,716x = 261,063,771,136
  5. Step 5: Solve for x
    x = 261,063,771,136/338,716
  6. Step 6: Final answer
    x = 770,745.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.