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Finding the Third Proportional to 148,328 and 318,256

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Solution

The third proportional to 148,328 and 318,256 is: 682,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,328 : 318,256 = 318,256 : x
  2. Step 2: Convert to fraction form
    148,328/318,256 = 318,256/x
  3. Step 3: Cross multiply
    148,328x = 318,256 × 318,256
  4. Step 4: Simplify right side
    148,328x = 101,286,881,536
  5. Step 5: Solve for x
    x = 101,286,881,536/148,328
  6. Step 6: Final answer
    x = 682,857.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.