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Finding the Third Proportional to 255,089 and 374,839

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Solution

The third proportional to 255,089 and 374,839 is: 550,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,089 : 374,839 = 374,839 : x
  2. Step 2: Convert to fraction form
    255,089/374,839 = 374,839/x
  3. Step 3: Cross multiply
    255,089x = 374,839 × 374,839
  4. Step 4: Simplify right side
    255,089x = 140,504,275,921
  5. Step 5: Solve for x
    x = 140,504,275,921/255,089
  6. Step 6: Final answer
    x = 550,804.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.