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Finding the Third Proportional to 128,738 and 201,234

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Solution

The third proportional to 128,738 and 201,234 is: 314,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,738 : 201,234 = 201,234 : x
  2. Step 2: Convert to fraction form
    128,738/201,234 = 201,234/x
  3. Step 3: Cross multiply
    128,738x = 201,234 × 201,234
  4. Step 4: Simplify right side
    128,738x = 40,495,122,756
  5. Step 5: Solve for x
    x = 40,495,122,756/128,738
  6. Step 6: Final answer
    x = 314,554.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.