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Finding the Third Proportional to 419,307 and 920,986

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Solution

The third proportional to 419,307 and 920,986 is: 2,022,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,307 : 920,986 = 920,986 : x
  2. Step 2: Convert to fraction form
    419,307/920,986 = 920,986/x
  3. Step 3: Cross multiply
    419,307x = 920,986 × 920,986
  4. Step 4: Simplify right side
    419,307x = 848,215,212,196
  5. Step 5: Solve for x
    x = 848,215,212,196/419,307
  6. Step 6: Final answer
    x = 2,022,897.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.