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Finding the Third Proportional to 353,990 and 764,328

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Solution

The third proportional to 353,990 and 764,328 is: 1,650,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,990 : 764,328 = 764,328 : x
  2. Step 2: Convert to fraction form
    353,990/764,328 = 764,328/x
  3. Step 3: Cross multiply
    353,990x = 764,328 × 764,328
  4. Step 4: Simplify right side
    353,990x = 584,197,291,584
  5. Step 5: Solve for x
    x = 584,197,291,584/353,990
  6. Step 6: Final answer
    x = 1,650,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.