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Finding the Third Proportional to 871,040 and 1,368,768

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Solution

The third proportional to 871,040 and 1,368,768 is: 2,150,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,040 : 1,368,768 = 1,368,768 : x
  2. Step 2: Convert to fraction form
    871,040/1,368,768 = 1,368,768/x
  3. Step 3: Cross multiply
    871,040x = 1,368,768 × 1,368,768
  4. Step 4: Simplify right side
    871,040x = 1,873,525,837,824
  5. Step 5: Solve for x
    x = 1,873,525,837,824/871,040
  6. Step 6: Final answer
    x = 2,150,906.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.