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Finding the Third Proportional to 620,419 and 995,415

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Solution

The third proportional to 620,419 and 995,415 is: 1,597,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,419 : 995,415 = 995,415 : x
  2. Step 2: Convert to fraction form
    620,419/995,415 = 995,415/x
  3. Step 3: Cross multiply
    620,419x = 995,415 × 995,415
  4. Step 4: Simplify right side
    620,419x = 990,851,022,225
  5. Step 5: Solve for x
    x = 990,851,022,225/620,419
  6. Step 6: Final answer
    x = 1,597,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.