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Finding the Third Proportional to 189,220 and 414,728

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Solution

The third proportional to 189,220 and 414,728 is: 908,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,220 : 414,728 = 414,728 : x
  2. Step 2: Convert to fraction form
    189,220/414,728 = 414,728/x
  3. Step 3: Cross multiply
    189,220x = 414,728 × 414,728
  4. Step 4: Simplify right side
    189,220x = 171,999,313,984
  5. Step 5: Solve for x
    x = 171,999,313,984/189,220
  6. Step 6: Final answer
    x = 908,991.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.