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Finding the Third Proportional to 409,024 and 874,912

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Solution

The third proportional to 409,024 and 874,912 is: 1,871,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,024 : 874,912 = 874,912 : x
  2. Step 2: Convert to fraction form
    409,024/874,912 = 874,912/x
  3. Step 3: Cross multiply
    409,024x = 874,912 × 874,912
  4. Step 4: Simplify right side
    409,024x = 765,471,007,744
  5. Step 5: Solve for x
    x = 765,471,007,744/409,024
  6. Step 6: Final answer
    x = 1,871,457.44

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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.