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Finding the Third Proportional to 338,987.25 and 512,855.25

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Solution

The third proportional to 338,987.25 and 512,855.25 is: 775,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,987.25 : 512,855.25 = 512,855.25 : x
  2. Step 2: Convert to fraction form
    338,987.25/512,855.25 = 512,855.25/x
  3. Step 3: Cross multiply
    338,987.25x = 512,855.25 × 512,855.25
  4. Step 4: Simplify right side
    338,987.25x = 263,020,507,452.56
  5. Step 5: Solve for x
    x = 263,020,507,452.56/338,987.25
  6. Step 6: Final answer
    x = 775,900.89

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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.