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Finding the Third Proportional to 202,425 and 435,990

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Solution

The third proportional to 202,425 and 435,990 is: 939,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,425 : 435,990 = 435,990 : x
  2. Step 2: Convert to fraction form
    202,425/435,990 = 435,990/x
  3. Step 3: Cross multiply
    202,425x = 435,990 × 435,990
  4. Step 4: Simplify right side
    202,425x = 190,087,280,100
  5. Step 5: Solve for x
    x = 190,087,280,100/202,425
  6. Step 6: Final answer
    x = 939,050.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.