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Finding the Third Proportional to 286,703 and 401,001

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Solution

The third proportional to 286,703 and 401,001 is: 560,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,703 : 401,001 = 401,001 : x
  2. Step 2: Convert to fraction form
    286,703/401,001 = 401,001/x
  3. Step 3: Cross multiply
    286,703x = 401,001 × 401,001
  4. Step 4: Simplify right side
    286,703x = 160,801,802,001
  5. Step 5: Solve for x
    x = 160,801,802,001/286,703
  6. Step 6: Final answer
    x = 560,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.