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Finding the Third Proportional to 391,854.75 and 551,819

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Solution

The third proportional to 391,854.75 and 551,819 is: 777,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,854.75 : 551,819 = 551,819 : x
  2. Step 2: Convert to fraction form
    391,854.75/551,819 = 551,819/x
  3. Step 3: Cross multiply
    391,854.75x = 551,819 × 551,819
  4. Step 4: Simplify right side
    391,854.75x = 304,504,208,761
  5. Step 5: Solve for x
    x = 304,504,208,761/391,854.75
  6. Step 6: Final answer
    x = 777,084.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.