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Finding the Third Proportional to 190,485.56 and 407,214.56

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Solution

The third proportional to 190,485.56 and 407,214.56 is: 870,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,485.56 : 407,214.56 = 407,214.56 : x
  2. Step 2: Convert to fraction form
    190,485.56/407,214.56 = 407,214.56/x
  3. Step 3: Cross multiply
    190,485.56x = 407,214.56 × 407,214.56
  4. Step 4: Simplify right side
    190,485.56x = 165,823,699,912.07
  5. Step 5: Solve for x
    x = 165,823,699,912.07/190,485.56
  6. Step 6: Final answer
    x = 870,531.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.