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Finding the Third Proportional to 353,454.50 and 727,645

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Solution

The third proportional to 353,454.50 and 727,645 is: 1,497,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,454.50 : 727,645 = 727,645 : x
  2. Step 2: Convert to fraction form
    353,454.50/727,645 = 727,645/x
  3. Step 3: Cross multiply
    353,454.50x = 727,645 × 727,645
  4. Step 4: Simplify right side
    353,454.50x = 529,467,246,025
  5. Step 5: Solve for x
    x = 529,467,246,025/353,454.50
  6. Step 6: Final answer
    x = 1,497,978.51

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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.