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Finding the Third Proportional to 196,442 and 290,980

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Solution

The third proportional to 196,442 and 290,980 is: 431,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,442 : 290,980 = 290,980 : x
  2. Step 2: Convert to fraction form
    196,442/290,980 = 290,980/x
  3. Step 3: Cross multiply
    196,442x = 290,980 × 290,980
  4. Step 4: Simplify right side
    196,442x = 84,669,360,400
  5. Step 5: Solve for x
    x = 84,669,360,400/196,442
  6. Step 6: Final answer
    x = 431,014.55

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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.