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Finding the Third Proportional to 408,971 and 874,804

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Solution

The third proportional to 408,971 and 874,804 is: 1,871,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,971 : 874,804 = 874,804 : x
  2. Step 2: Convert to fraction form
    408,971/874,804 = 874,804/x
  3. Step 3: Cross multiply
    408,971x = 874,804 × 874,804
  4. Step 4: Simplify right side
    408,971x = 765,282,038,416
  5. Step 5: Solve for x
    x = 765,282,038,416/408,971
  6. Step 6: Final answer
    x = 1,871,237.91

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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.