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Finding the Third Proportional to 133,855 and 196,312

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Solution

The third proportional to 133,855 and 196,312 is: 287,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855 : 196,312 = 196,312 : x
  2. Step 2: Convert to fraction form
    133,855/196,312 = 196,312/x
  3. Step 3: Cross multiply
    133,855x = 196,312 × 196,312
  4. Step 4: Simplify right side
    133,855x = 38,538,401,344
  5. Step 5: Solve for x
    x = 38,538,401,344/133,855
  6. Step 6: Final answer
    x = 287,911.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.