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Finding the Third Proportional to 353,968 and 764,288

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Solution

The third proportional to 353,968 and 764,288 is: 1,650,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,968 : 764,288 = 764,288 : x
  2. Step 2: Convert to fraction form
    353,968/764,288 = 764,288/x
  3. Step 3: Cross multiply
    353,968x = 764,288 × 764,288
  4. Step 4: Simplify right side
    353,968x = 584,136,146,944
  5. Step 5: Solve for x
    x = 584,136,146,944/353,968
  6. Step 6: Final answer
    x = 1,650,251.29

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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.