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Finding the Third Proportional to 385,794 and 613,899

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Solution

The third proportional to 385,794 and 613,899 is: 976,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,794 : 613,899 = 613,899 : x
  2. Step 2: Convert to fraction form
    385,794/613,899 = 613,899/x
  3. Step 3: Cross multiply
    385,794x = 613,899 × 613,899
  4. Step 4: Simplify right side
    385,794x = 376,871,982,201
  5. Step 5: Solve for x
    x = 376,871,982,201/385,794
  6. Step 6: Final answer
    x = 976,873.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.