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Finding the Third Proportional to 192,154 and 306,971

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Solution

The third proportional to 192,154 and 306,971 is: 490,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,154 : 306,971 = 306,971 : x
  2. Step 2: Convert to fraction form
    192,154/306,971 = 306,971/x
  3. Step 3: Cross multiply
    192,154x = 306,971 × 306,971
  4. Step 4: Simplify right side
    192,154x = 94,231,194,841
  5. Step 5: Solve for x
    x = 94,231,194,841/192,154
  6. Step 6: Final answer
    x = 490,394.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.