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Finding the Third Proportional to 387,450 and 821,097

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Solution

The third proportional to 387,450 and 821,097 is: 1,740,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,450 : 821,097 = 821,097 : x
  2. Step 2: Convert to fraction form
    387,450/821,097 = 821,097/x
  3. Step 3: Cross multiply
    387,450x = 821,097 × 821,097
  4. Step 4: Simplify right side
    387,450x = 674,200,283,409
  5. Step 5: Solve for x
    x = 674,200,283,409/387,450
  6. Step 6: Final answer
    x = 1,740,096.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.