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Finding the Third Proportional to 311,692 and 681,704

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Solution

The third proportional to 311,692 and 681,704 is: 1,490,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692 : 681,704 = 681,704 : x
  2. Step 2: Convert to fraction form
    311,692/681,704 = 681,704/x
  3. Step 3: Cross multiply
    311,692x = 681,704 × 681,704
  4. Step 4: Simplify right side
    311,692x = 464,720,343,616
  5. Step 5: Solve for x
    x = 464,720,343,616/311,692
  6. Step 6: Final answer
    x = 1,490,960.13

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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.