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Finding the Third Proportional to 445,268 and 689,574

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Solution

The third proportional to 445,268 and 689,574 is: 1,067,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,268 : 689,574 = 689,574 : x
  2. Step 2: Convert to fraction form
    445,268/689,574 = 689,574/x
  3. Step 3: Cross multiply
    445,268x = 689,574 × 689,574
  4. Step 4: Simplify right side
    445,268x = 475,512,301,476
  5. Step 5: Solve for x
    x = 475,512,301,476/445,268
  6. Step 6: Final answer
    x = 1,067,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.