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Finding the Third Proportional to 190,759 and 407,600

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Solution

The third proportional to 190,759 and 407,600 is: 870,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,759 : 407,600 = 407,600 : x
  2. Step 2: Convert to fraction form
    190,759/407,600 = 407,600/x
  3. Step 3: Cross multiply
    190,759x = 407,600 × 407,600
  4. Step 4: Simplify right side
    190,759x = 166,137,760,000
  5. Step 5: Solve for x
    x = 166,137,760,000/190,759
  6. Step 6: Final answer
    x = 870,930.13

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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.