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Finding the Third Proportional to 545,628 and 825,990

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Solution

The third proportional to 545,628 and 825,990 is: 1,250,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,628 : 825,990 = 825,990 : x
  2. Step 2: Convert to fraction form
    545,628/825,990 = 825,990/x
  3. Step 3: Cross multiply
    545,628x = 825,990 × 825,990
  4. Step 4: Simplify right side
    545,628x = 682,259,480,100
  5. Step 5: Solve for x
    x = 682,259,480,100/545,628
  6. Step 6: Final answer
    x = 1,250,411.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.