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Finding the Third Proportional to 305,718 and 440,350.50

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Solution

The third proportional to 305,718 and 440,350.50 is: 634,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718 : 440,350.50 = 440,350.50 : x
  2. Step 2: Convert to fraction form
    305,718/440,350.50 = 440,350.50/x
  3. Step 3: Cross multiply
    305,718x = 440,350.50 × 440,350.50
  4. Step 4: Simplify right side
    305,718x = 193,908,562,850.25
  5. Step 5: Solve for x
    x = 193,908,562,850.25/305,718
  6. Step 6: Final answer
    x = 634,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.