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Finding the Third Proportional to 286,722 and 401,021

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Solution

The third proportional to 286,722 and 401,021 is: 560,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,722 : 401,021 = 401,021 : x
  2. Step 2: Convert to fraction form
    286,722/401,021 = 401,021/x
  3. Step 3: Cross multiply
    286,722x = 401,021 × 401,021
  4. Step 4: Simplify right side
    286,722x = 160,817,842,441
  5. Step 5: Solve for x
    x = 160,817,842,441/286,722
  6. Step 6: Final answer
    x = 560,884.21

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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.