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Finding the Third Proportional to 180,138 and 270,303

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Solution

The third proportional to 180,138 and 270,303 is: 405,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,138 : 270,303 = 270,303 : x
  2. Step 2: Convert to fraction form
    180,138/270,303 = 270,303/x
  3. Step 3: Cross multiply
    180,138x = 270,303 × 270,303
  4. Step 4: Simplify right side
    180,138x = 73,063,711,809
  5. Step 5: Solve for x
    x = 73,063,711,809/180,138
  6. Step 6: Final answer
    x = 405,598.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.