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Finding the Third Proportional to 209,838 and 453,180

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Solution

The third proportional to 209,838 and 453,180 is: 978,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,838 : 453,180 = 453,180 : x
  2. Step 2: Convert to fraction form
    209,838/453,180 = 453,180/x
  3. Step 3: Cross multiply
    209,838x = 453,180 × 453,180
  4. Step 4: Simplify right side
    209,838x = 205,372,112,400
  5. Step 5: Solve for x
    x = 205,372,112,400/209,838
  6. Step 6: Final answer
    x = 978,717.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.