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Finding the Third Proportional to 148,617 and 311,996

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Solution

The third proportional to 148,617 and 311,996 is: 654,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,617 : 311,996 = 311,996 : x
  2. Step 2: Convert to fraction form
    148,617/311,996 = 311,996/x
  3. Step 3: Cross multiply
    148,617x = 311,996 × 311,996
  4. Step 4: Simplify right side
    148,617x = 97,341,504,016
  5. Step 5: Solve for x
    x = 97,341,504,016/148,617
  6. Step 6: Final answer
    x = 654,982.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.