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Finding the Third Proportional to 213,010 and 323,403

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Solution

The third proportional to 213,010 and 323,403 is: 491,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,010 : 323,403 = 323,403 : x
  2. Step 2: Convert to fraction form
    213,010/323,403 = 323,403/x
  3. Step 3: Cross multiply
    213,010x = 323,403 × 323,403
  4. Step 4: Simplify right side
    213,010x = 104,589,500,409
  5. Step 5: Solve for x
    x = 104,589,500,409/213,010
  6. Step 6: Final answer
    x = 491,007.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.