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Finding the Third Proportional to 311,126 and 682,516

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Solution

The third proportional to 311,126 and 682,516 is: 1,497,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,126 : 682,516 = 682,516 : x
  2. Step 2: Convert to fraction form
    311,126/682,516 = 682,516/x
  3. Step 3: Cross multiply
    311,126x = 682,516 × 682,516
  4. Step 4: Simplify right side
    311,126x = 465,828,090,256
  5. Step 5: Solve for x
    x = 465,828,090,256/311,126
  6. Step 6: Final answer
    x = 1,497,232.92

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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.