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Finding the Third Proportional to 387,007.88 and 821,036.25

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Solution

The third proportional to 387,007.88 and 821,036.25 is: 1,741,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,007.88 : 821,036.25 = 821,036.25 : x
  2. Step 2: Convert to fraction form
    387,007.88/821,036.25 = 821,036.25/x
  3. Step 3: Cross multiply
    387,007.88x = 821,036.25 × 821,036.25
  4. Step 4: Simplify right side
    387,007.88x = 674,100,523,814.06
  5. Step 5: Solve for x
    x = 674,100,523,814.06/387,007.88
  6. Step 6: Final answer
    x = 1,741,826.37

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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.