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Finding the Third Proportional to 196,222 and 301,988

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Solution

The third proportional to 196,222 and 301,988 is: 464,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,222 : 301,988 = 301,988 : x
  2. Step 2: Convert to fraction form
    196,222/301,988 = 301,988/x
  3. Step 3: Cross multiply
    196,222x = 301,988 × 301,988
  4. Step 4: Simplify right side
    196,222x = 91,196,752,144
  5. Step 5: Solve for x
    x = 91,196,752,144/196,222
  6. Step 6: Final answer
    x = 464,763.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.