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Finding the Third Proportional to 403,578 and 606,322

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Solution

The third proportional to 403,578 and 606,322 is: 910,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,578 : 606,322 = 606,322 : x
  2. Step 2: Convert to fraction form
    403,578/606,322 = 606,322/x
  3. Step 3: Cross multiply
    403,578x = 606,322 × 606,322
  4. Step 4: Simplify right side
    403,578x = 367,626,367,684
  5. Step 5: Solve for x
    x = 367,626,367,684/403,578
  6. Step 6: Final answer
    x = 910,917.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.