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Finding the Third Proportional to 196,450 and 290,989

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Solution

The third proportional to 196,450 and 290,989 is: 431,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,450 : 290,989 = 290,989 : x
  2. Step 2: Convert to fraction form
    196,450/290,989 = 290,989/x
  3. Step 3: Cross multiply
    196,450x = 290,989 × 290,989
  4. Step 4: Simplify right side
    196,450x = 84,674,598,121
  5. Step 5: Solve for x
    x = 84,674,598,121/196,450
  6. Step 6: Final answer
    x = 431,023.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.