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Finding the Third Proportional to 311,705 and 681,730

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Solution

The third proportional to 311,705 and 681,730 is: 1,491,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,705 : 681,730 = 681,730 : x
  2. Step 2: Convert to fraction form
    311,705/681,730 = 681,730/x
  3. Step 3: Cross multiply
    311,705x = 681,730 × 681,730
  4. Step 4: Simplify right side
    311,705x = 464,755,792,900
  5. Step 5: Solve for x
    x = 464,755,792,900/311,705
  6. Step 6: Final answer
    x = 1,491,011.67

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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.