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Finding the Third Proportional to 355,338 and 469,503

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Solution

The third proportional to 355,338 and 469,503 is: 620,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,338 : 469,503 = 469,503 : x
  2. Step 2: Convert to fraction form
    355,338/469,503 = 469,503/x
  3. Step 3: Cross multiply
    355,338x = 469,503 × 469,503
  4. Step 4: Simplify right side
    355,338x = 220,433,067,009
  5. Step 5: Solve for x
    x = 220,433,067,009/355,338
  6. Step 6: Final answer
    x = 620,347.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.