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Finding the Third Proportional to 191,676 and 290,201

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Solution

The third proportional to 191,676 and 290,201 is: 439,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,676 : 290,201 = 290,201 : x
  2. Step 2: Convert to fraction form
    191,676/290,201 = 290,201/x
  3. Step 3: Cross multiply
    191,676x = 290,201 × 290,201
  4. Step 4: Simplify right side
    191,676x = 84,216,620,401
  5. Step 5: Solve for x
    x = 84,216,620,401/191,676
  6. Step 6: Final answer
    x = 439,369.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.