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Finding the Third Proportional to 1,240,425 and 1,990,217.25

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Solution

The third proportional to 1,240,425 and 1,990,217.25 is: 3,193,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,425 : 1,990,217.25 = 1,990,217.25 : x
  2. Step 2: Convert to fraction form
    1,240,425/1,990,217.25 = 1,990,217.25/x
  3. Step 3: Cross multiply
    1,240,425x = 1,990,217.25 × 1,990,217.25
  4. Step 4: Simplify right side
    1,240,425x = 3,960,964,702,197.56
  5. Step 5: Solve for x
    x = 3,960,964,702,197.56/1,240,425
  6. Step 6: Final answer
    x = 3,193,231.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.