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Finding the Third Proportional to 180,168 and 278,993

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Solution

The third proportional to 180,168 and 278,993 is: 432,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 278,993 = 278,993 : x
  2. Step 2: Convert to fraction form
    180,168/278,993 = 278,993/x
  3. Step 3: Cross multiply
    180,168x = 278,993 × 278,993
  4. Step 4: Simplify right side
    180,168x = 77,837,094,049
  5. Step 5: Solve for x
    x = 77,837,094,049/180,168
  6. Step 6: Final answer
    x = 432,025.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.