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Finding the Third Proportional to 279,738 and 429,268

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Solution

The third proportional to 279,738 and 429,268 is: 658,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,738 : 429,268 = 429,268 : x
  2. Step 2: Convert to fraction form
    279,738/429,268 = 429,268/x
  3. Step 3: Cross multiply
    279,738x = 429,268 × 429,268
  4. Step 4: Simplify right side
    279,738x = 184,271,015,824
  5. Step 5: Solve for x
    x = 184,271,015,824/279,738
  6. Step 6: Final answer
    x = 658,727.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.