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Finding the Third Proportional to 136,425 and 210,469.50

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Solution

The third proportional to 136,425 and 210,469.50 is: 324,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425 : 210,469.50 = 210,469.50 : x
  2. Step 2: Convert to fraction form
    136,425/210,469.50 = 210,469.50/x
  3. Step 3: Cross multiply
    136,425x = 210,469.50 × 210,469.50
  4. Step 4: Simplify right side
    136,425x = 44,297,410,430.25
  5. Step 5: Solve for x
    x = 44,297,410,430.25/136,425
  6. Step 6: Final answer
    x = 324,701.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.