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Finding the Third Proportional to 180,255 and 417,279

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Solution

The third proportional to 180,255 and 417,279 is: 965,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,255 : 417,279 = 417,279 : x
  2. Step 2: Convert to fraction form
    180,255/417,279 = 417,279/x
  3. Step 3: Cross multiply
    180,255x = 417,279 × 417,279
  4. Step 4: Simplify right side
    180,255x = 174,121,763,841
  5. Step 5: Solve for x
    x = 174,121,763,841/180,255
  6. Step 6: Final answer
    x = 965,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.