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Finding the Third Proportional to 305,025.75 and 407,490.75

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Solution

The third proportional to 305,025.75 and 407,490.75 is: 544,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,025.75 : 407,490.75 = 407,490.75 : x
  2. Step 2: Convert to fraction form
    305,025.75/407,490.75 = 407,490.75/x
  3. Step 3: Cross multiply
    305,025.75x = 407,490.75 × 407,490.75
  4. Step 4: Simplify right side
    305,025.75x = 166,048,711,335.56
  5. Step 5: Solve for x
    x = 166,048,711,335.56/305,025.75
  6. Step 6: Final answer
    x = 544,376.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.