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Finding the Third Proportional to 355,122 and 762,948

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Solution

The third proportional to 355,122 and 762,948 is: 1,639,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,122 : 762,948 = 762,948 : x
  2. Step 2: Convert to fraction form
    355,122/762,948 = 762,948/x
  3. Step 3: Cross multiply
    355,122x = 762,948 × 762,948
  4. Step 4: Simplify right side
    355,122x = 582,089,650,704
  5. Step 5: Solve for x
    x = 582,089,650,704/355,122
  6. Step 6: Final answer
    x = 1,639,125.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.