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Finding the Third Proportional to 385,802 and 613,911

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Solution

The third proportional to 385,802 and 613,911 is: 976,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802 : 613,911 = 613,911 : x
  2. Step 2: Convert to fraction form
    385,802/613,911 = 613,911/x
  3. Step 3: Cross multiply
    385,802x = 613,911 × 613,911
  4. Step 4: Simplify right side
    385,802x = 376,886,715,921
  5. Step 5: Solve for x
    x = 376,886,715,921/385,802
  6. Step 6: Final answer
    x = 976,891.56

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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.