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Finding the Third Proportional to 409,914 and 900,534.38

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Solution

The third proportional to 409,914 and 900,534.38 is: 1,978,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,914 : 900,534.38 = 900,534.38 : x
  2. Step 2: Convert to fraction form
    409,914/900,534.38 = 900,534.38/x
  3. Step 3: Cross multiply
    409,914x = 900,534.38 × 900,534.38
  4. Step 4: Simplify right side
    409,914x = 810,962,160,556.64
  5. Step 5: Solve for x
    x = 810,962,160,556.64/409,914
  6. Step 6: Final answer
    x = 1,978,371.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.