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Finding the Third Proportional to 288,775.50 and 444,440.25

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Solution

The third proportional to 288,775.50 and 444,440.25 is: 684,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,775.50 : 444,440.25 = 444,440.25 : x
  2. Step 2: Convert to fraction form
    288,775.50/444,440.25 = 444,440.25/x
  3. Step 3: Cross multiply
    288,775.50x = 444,440.25 × 444,440.25
  4. Step 4: Simplify right side
    288,775.50x = 197,527,135,820.06
  5. Step 5: Solve for x
    x = 197,527,135,820.06/288,775.50
  6. Step 6: Final answer
    x = 684,016.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.