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Finding the Third Proportional to 353,121 and 784,702

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Solution

The third proportional to 353,121 and 784,702 is: 1,743,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,121 : 784,702 = 784,702 : x
  2. Step 2: Convert to fraction form
    353,121/784,702 = 784,702/x
  3. Step 3: Cross multiply
    353,121x = 784,702 × 784,702
  4. Step 4: Simplify right side
    353,121x = 615,757,228,804
  5. Step 5: Solve for x
    x = 615,757,228,804/353,121
  6. Step 6: Final answer
    x = 1,743,757.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.