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Finding the Third Proportional to 286,702 and 401,000

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Solution

The third proportional to 286,702 and 401,000 is: 560,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,702 : 401,000 = 401,000 : x
  2. Step 2: Convert to fraction form
    286,702/401,000 = 401,000/x
  3. Step 3: Cross multiply
    286,702x = 401,000 × 401,000
  4. Step 4: Simplify right side
    286,702x = 160,801,000,000
  5. Step 5: Solve for x
    x = 160,801,000,000/286,702
  6. Step 6: Final answer
    x = 560,864.59

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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.