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Finding the Third Proportional to 339,420 and 503,253

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Solution

The third proportional to 339,420 and 503,253 is: 746,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,420 : 503,253 = 503,253 : x
  2. Step 2: Convert to fraction form
    339,420/503,253 = 503,253/x
  3. Step 3: Cross multiply
    339,420x = 503,253 × 503,253
  4. Step 4: Simplify right side
    339,420x = 253,263,582,009
  5. Step 5: Solve for x
    x = 253,263,582,009/339,420
  6. Step 6: Final answer
    x = 746,165.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.