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Finding the Third Proportional to 203,479 and 322,446

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Solution

The third proportional to 203,479 and 322,446 is: 510,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,479 : 322,446 = 322,446 : x
  2. Step 2: Convert to fraction form
    203,479/322,446 = 322,446/x
  3. Step 3: Cross multiply
    203,479x = 322,446 × 322,446
  4. Step 4: Simplify right side
    203,479x = 103,971,422,916
  5. Step 5: Solve for x
    x = 103,971,422,916/203,479
  6. Step 6: Final answer
    x = 510,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.