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Finding the Third Proportional to 305,707 and 407,719.50

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Solution

The third proportional to 305,707 and 407,719.50 is: 543,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,707 : 407,719.50 = 407,719.50 : x
  2. Step 2: Convert to fraction form
    305,707/407,719.50 = 407,719.50/x
  3. Step 3: Cross multiply
    305,707x = 407,719.50 × 407,719.50
  4. Step 4: Simplify right side
    305,707x = 166,235,190,680.25
  5. Step 5: Solve for x
    x = 166,235,190,680.25/305,707
  6. Step 6: Final answer
    x = 543,772.93

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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.