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Finding the Third Proportional to 314,600 and 673,690

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Solution

The third proportional to 314,600 and 673,690 is: 1,442,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,600 : 673,690 = 673,690 : x
  2. Step 2: Convert to fraction form
    314,600/673,690 = 673,690/x
  3. Step 3: Cross multiply
    314,600x = 673,690 × 673,690
  4. Step 4: Simplify right side
    314,600x = 453,858,216,100
  5. Step 5: Solve for x
    x = 453,858,216,100/314,600
  6. Step 6: Final answer
    x = 1,442,651.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.