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Finding the Third Proportional to 148,504 and 311,600

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Solution

The third proportional to 148,504 and 311,600 is: 653,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,504 : 311,600 = 311,600 : x
  2. Step 2: Convert to fraction form
    148,504/311,600 = 311,600/x
  3. Step 3: Cross multiply
    148,504x = 311,600 × 311,600
  4. Step 4: Simplify right side
    148,504x = 97,094,560,000
  5. Step 5: Solve for x
    x = 97,094,560,000/148,504
  6. Step 6: Final answer
    x = 653,817.81

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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.