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Finding the Third Proportional to 311,690 and 681,700

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Solution

The third proportional to 311,690 and 681,700 is: 1,490,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,690 : 681,700 = 681,700 : x
  2. Step 2: Convert to fraction form
    311,690/681,700 = 681,700/x
  3. Step 3: Cross multiply
    311,690x = 681,700 × 681,700
  4. Step 4: Simplify right side
    311,690x = 464,714,890,000
  5. Step 5: Solve for x
    x = 464,714,890,000/311,690
  6. Step 6: Final answer
    x = 1,490,952.20

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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.