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Finding the Third Proportional to 180,648 and 397,248

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Solution

The third proportional to 180,648 and 397,248 is: 873,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648 : 397,248 = 397,248 : x
  2. Step 2: Convert to fraction form
    180,648/397,248 = 397,248/x
  3. Step 3: Cross multiply
    180,648x = 397,248 × 397,248
  4. Step 4: Simplify right side
    180,648x = 157,805,973,504
  5. Step 5: Solve for x
    x = 157,805,973,504/180,648
  6. Step 6: Final answer
    x = 873,555.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.