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Finding the Third Proportional to 409,022 and 874,900

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Solution

The third proportional to 409,022 and 874,900 is: 1,871,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,022 : 874,900 = 874,900 : x
  2. Step 2: Convert to fraction form
    409,022/874,900 = 874,900/x
  3. Step 3: Cross multiply
    409,022x = 874,900 × 874,900
  4. Step 4: Simplify right side
    409,022x = 765,450,010,000
  5. Step 5: Solve for x
    x = 765,450,010,000/409,022
  6. Step 6: Final answer
    x = 1,871,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.