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Finding the Third Proportional to 408,997.13 and 874,856.25

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Solution

The third proportional to 408,997.13 and 874,856.25 is: 1,871,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,997.13 : 874,856.25 = 874,856.25 : x
  2. Step 2: Convert to fraction form
    408,997.13/874,856.25 = 874,856.25/x
  3. Step 3: Cross multiply
    408,997.13x = 874,856.25 × 874,856.25
  4. Step 4: Simplify right side
    408,997.13x = 765,373,458,164.06
  5. Step 5: Solve for x
    x = 765,373,458,164.06/408,997.13
  6. Step 6: Final answer
    x = 1,871,341.90

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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.