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Finding the Third Proportional to 867,027 and 1,380,807

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Solution

The third proportional to 867,027 and 1,380,807 is: 2,199,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,027 : 1,380,807 = 1,380,807 : x
  2. Step 2: Convert to fraction form
    867,027/1,380,807 = 1,380,807/x
  3. Step 3: Cross multiply
    867,027x = 1,380,807 × 1,380,807
  4. Step 4: Simplify right side
    867,027x = 1,906,627,971,249
  5. Step 5: Solve for x
    x = 1,906,627,971,249/867,027
  6. Step 6: Final answer
    x = 2,199,041.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.