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Finding the Third Proportional to 305,706.50 and 407,718.75

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Solution

The third proportional to 305,706.50 and 407,718.75 is: 543,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,706.50 : 407,718.75 = 407,718.75 : x
  2. Step 2: Convert to fraction form
    305,706.50/407,718.75 = 407,718.75/x
  3. Step 3: Cross multiply
    305,706.50x = 407,718.75 × 407,718.75
  4. Step 4: Simplify right side
    305,706.50x = 166,234,579,101.56
  5. Step 5: Solve for x
    x = 166,234,579,101.56/305,706.50
  6. Step 6: Final answer
    x = 543,771.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.