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Finding the Third Proportional to 353,459 and 762,960

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Solution

The third proportional to 353,459 and 762,960 is: 1,646,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,459 : 762,960 = 762,960 : x
  2. Step 2: Convert to fraction form
    353,459/762,960 = 762,960/x
  3. Step 3: Cross multiply
    353,459x = 762,960 × 762,960
  4. Step 4: Simplify right side
    353,459x = 582,107,961,600
  5. Step 5: Solve for x
    x = 582,107,961,600/353,459
  6. Step 6: Final answer
    x = 1,646,889.63

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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.