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Finding the Third Proportional to 288,103 and 622,367.50

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Solution

The third proportional to 288,103 and 622,367.50 is: 1,344,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103 : 622,367.50 = 622,367.50 : x
  2. Step 2: Convert to fraction form
    288,103/622,367.50 = 622,367.50/x
  3. Step 3: Cross multiply
    288,103x = 622,367.50 × 622,367.50
  4. Step 4: Simplify right side
    288,103x = 387,341,305,056.25
  5. Step 5: Solve for x
    x = 387,341,305,056.25/288,103
  6. Step 6: Final answer
    x = 1,344,454.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.