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Finding the Third Proportional to 190,416 and 414,690

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Solution

The third proportional to 190,416 and 414,690 is: 903,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,416 : 414,690 = 414,690 : x
  2. Step 2: Convert to fraction form
    190,416/414,690 = 414,690/x
  3. Step 3: Cross multiply
    190,416x = 414,690 × 414,690
  4. Step 4: Simplify right side
    190,416x = 171,967,796,100
  5. Step 5: Solve for x
    x = 171,967,796,100/190,416
  6. Step 6: Final answer
    x = 903,116.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.