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Finding the Third Proportional to 311,214 and 681,034

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Solution

The third proportional to 311,214 and 681,034 is: 1,490,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214 : 681,034 = 681,034 : x
  2. Step 2: Convert to fraction form
    311,214/681,034 = 681,034/x
  3. Step 3: Cross multiply
    311,214x = 681,034 × 681,034
  4. Step 4: Simplify right side
    311,214x = 463,807,309,156
  5. Step 5: Solve for x
    x = 463,807,309,156/311,214
  6. Step 6: Final answer
    x = 1,490,316.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.