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Finding the Third Proportional to 703,687.50 and 1,089,956.25

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Solution

The third proportional to 703,687.50 and 1,089,956.25 is: 1,688,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,687.50 : 1,089,956.25 = 1,089,956.25 : x
  2. Step 2: Convert to fraction form
    703,687.50/1,089,956.25 = 1,089,956.25/x
  3. Step 3: Cross multiply
    703,687.50x = 1,089,956.25 × 1,089,956.25
  4. Step 4: Simplify right side
    703,687.50x = 1,188,004,626,914.06
  5. Step 5: Solve for x
    x = 1,188,004,626,914.06/703,687.50
  6. Step 6: Final answer
    x = 1,688,255.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.