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Finding the Third Proportional to 339,407 and 503,239

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Solution

The third proportional to 339,407 and 503,239 is: 746,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,407 : 503,239 = 503,239 : x
  2. Step 2: Convert to fraction form
    339,407/503,239 = 503,239/x
  3. Step 3: Cross multiply
    339,407x = 503,239 × 503,239
  4. Step 4: Simplify right side
    339,407x = 253,249,491,121
  5. Step 5: Solve for x
    x = 253,249,491,121/339,407
  6. Step 6: Final answer
    x = 746,152.82

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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.