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Finding the Third Proportional to 353,115 and 784,689.75

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Solution

The third proportional to 353,115 and 784,689.75 is: 1,743,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,115 : 784,689.75 = 784,689.75 : x
  2. Step 2: Convert to fraction form
    353,115/784,689.75 = 784,689.75/x
  3. Step 3: Cross multiply
    353,115x = 784,689.75 × 784,689.75
  4. Step 4: Simplify right side
    353,115x = 615,738,003,755.06
  5. Step 5: Solve for x
    x = 615,738,003,755.06/353,115
  6. Step 6: Final answer
    x = 1,743,732.22

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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.