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Finding the Third Proportional to 305,648.44 and 422,319.66

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Solution

The third proportional to 305,648.44 and 422,319.66 is: 583,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,648.44 : 422,319.66 = 422,319.66 : x
  2. Step 2: Convert to fraction form
    305,648.44/422,319.66 = 422,319.66/x
  3. Step 3: Cross multiply
    305,648.44x = 422,319.66 × 422,319.66
  4. Step 4: Simplify right side
    305,648.44x = 178,353,892,055.12
  5. Step 5: Solve for x
    x = 178,353,892,055.12/305,648.44
  6. Step 6: Final answer
    x = 583,526.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.