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Finding the Third Proportional to 408,971.25 and 874,804.50

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Solution

The third proportional to 408,971.25 and 874,804.50 is: 1,871,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,971.25 : 874,804.50 = 874,804.50 : x
  2. Step 2: Convert to fraction form
    408,971.25/874,804.50 = 874,804.50/x
  3. Step 3: Cross multiply
    408,971.25x = 874,804.50 × 874,804.50
  4. Step 4: Simplify right side
    408,971.25x = 765,282,913,220.25
  5. Step 5: Solve for x
    x = 765,282,913,220.25/408,971.25
  6. Step 6: Final answer
    x = 1,871,238.90

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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.