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Finding the Third Proportional to 906,255 and 1,270,399.50

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Solution

The third proportional to 906,255 and 1,270,399.50 is: 1,780,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,255 : 1,270,399.50 = 1,270,399.50 : x
  2. Step 2: Convert to fraction form
    906,255/1,270,399.50 = 1,270,399.50/x
  3. Step 3: Cross multiply
    906,255x = 1,270,399.50 × 1,270,399.50
  4. Step 4: Simplify right side
    906,255x = 1,613,914,889,600.25
  5. Step 5: Solve for x
    x = 1,613,914,889,600.25/906,255
  6. Step 6: Final answer
    x = 1,780,861.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.