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Finding the Third Proportional to 645,826 and 995,990

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Solution

The third proportional to 645,826 and 995,990 is: 1,536,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,826 : 995,990 = 995,990 : x
  2. Step 2: Convert to fraction form
    645,826/995,990 = 995,990/x
  3. Step 3: Cross multiply
    645,826x = 995,990 × 995,990
  4. Step 4: Simplify right side
    645,826x = 991,996,080,100
  5. Step 5: Solve for x
    x = 991,996,080,100/645,826
  6. Step 6: Final answer
    x = 1,536,011.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.