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Finding the Third Proportional to 128,402.72 and 274,612.78

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Solution

The third proportional to 128,402.72 and 274,612.78 is: 587,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,402.72 : 274,612.78 = 274,612.78 : x
  2. Step 2: Convert to fraction form
    128,402.72/274,612.78 = 274,612.78/x
  3. Step 3: Cross multiply
    128,402.72x = 274,612.78 × 274,612.78
  4. Step 4: Simplify right side
    128,402.72x = 75,412,179,625.86
  5. Step 5: Solve for x
    x = 75,412,179,625.86/128,402.72
  6. Step 6: Final answer
    x = 587,309.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.