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Finding the Third Proportional to 353,458 and 727,652

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Solution

The third proportional to 353,458 and 727,652 is: 1,497,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,458 : 727,652 = 727,652 : x
  2. Step 2: Convert to fraction form
    353,458/727,652 = 727,652/x
  3. Step 3: Cross multiply
    353,458x = 727,652 × 727,652
  4. Step 4: Simplify right side
    353,458x = 529,477,433,104
  5. Step 5: Solve for x
    x = 529,477,433,104/353,458
  6. Step 6: Final answer
    x = 1,497,992.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.