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Finding the Third Proportional to 401,328 and 588,687

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Solution

The third proportional to 401,328 and 588,687 is: 863,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,328 : 588,687 = 588,687 : x
  2. Step 2: Convert to fraction form
    401,328/588,687 = 588,687/x
  3. Step 3: Cross multiply
    401,328x = 588,687 × 588,687
  4. Step 4: Simplify right side
    401,328x = 346,552,383,969
  5. Step 5: Solve for x
    x = 346,552,383,969/401,328
  6. Step 6: Final answer
    x = 863,514.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.