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Finding the Third Proportional to 190,640 and 410,828

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Solution

The third proportional to 190,640 and 410,828 is: 885,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,640 : 410,828 = 410,828 : x
  2. Step 2: Convert to fraction form
    190,640/410,828 = 410,828/x
  3. Step 3: Cross multiply
    190,640x = 410,828 × 410,828
  4. Step 4: Simplify right side
    190,640x = 168,779,645,584
  5. Step 5: Solve for x
    x = 168,779,645,584/190,640
  6. Step 6: Final answer
    x = 885,331.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.