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Finding the Third Proportional to 391,846.75 and 551,807

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Solution

The third proportional to 391,846.75 and 551,807 is: 777,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,846.75 : 551,807 = 551,807 : x
  2. Step 2: Convert to fraction form
    391,846.75/551,807 = 551,807/x
  3. Step 3: Cross multiply
    391,846.75x = 551,807 × 551,807
  4. Step 4: Simplify right side
    391,846.75x = 304,490,965,249
  5. Step 5: Solve for x
    x = 304,490,965,249/391,846.75
  6. Step 6: Final answer
    x = 777,066.46

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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.