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Finding the Third Proportional to 193,980 and 301,056

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Solution

The third proportional to 193,980 and 301,056 is: 467,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,980 : 301,056 = 301,056 : x
  2. Step 2: Convert to fraction form
    193,980/301,056 = 301,056/x
  3. Step 3: Cross multiply
    193,980x = 301,056 × 301,056
  4. Step 4: Simplify right side
    193,980x = 90,634,715,136
  5. Step 5: Solve for x
    x = 90,634,715,136/193,980
  6. Step 6: Final answer
    x = 467,237.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.