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Finding the Third Proportional to 421,212 and 872,232

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Solution

The third proportional to 421,212 and 872,232 is: 1,806,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,212 : 872,232 = 872,232 : x
  2. Step 2: Convert to fraction form
    421,212/872,232 = 872,232/x
  3. Step 3: Cross multiply
    421,212x = 872,232 × 872,232
  4. Step 4: Simplify right side
    421,212x = 760,788,661,824
  5. Step 5: Solve for x
    x = 760,788,661,824/421,212
  6. Step 6: Final answer
    x = 1,806,189.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.