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Finding the Third Proportional to 395,242.50 and 878,907

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Solution

The third proportional to 395,242.50 and 878,907 is: 1,954,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,242.50 : 878,907 = 878,907 : x
  2. Step 2: Convert to fraction form
    395,242.50/878,907 = 878,907/x
  3. Step 3: Cross multiply
    395,242.50x = 878,907 × 878,907
  4. Step 4: Simplify right side
    395,242.50x = 772,477,514,649
  5. Step 5: Solve for x
    x = 772,477,514,649/395,242.50
  6. Step 6: Final answer
    x = 1,954,439.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.