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Finding the Third Proportional to 611,910 and 1,325,517

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Solution

The third proportional to 611,910 and 1,325,517 is: 2,871,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,910 : 1,325,517 = 1,325,517 : x
  2. Step 2: Convert to fraction form
    611,910/1,325,517 = 1,325,517/x
  3. Step 3: Cross multiply
    611,910x = 1,325,517 × 1,325,517
  4. Step 4: Simplify right side
    611,910x = 1,756,995,317,289
  5. Step 5: Solve for x
    x = 1,756,995,317,289/611,910
  6. Step 6: Final answer
    x = 2,871,329.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.