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Finding the Third Proportional to 303,860 and 664,928

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Solution

The third proportional to 303,860 and 664,928 is: 1,455,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,860 : 664,928 = 664,928 : x
  2. Step 2: Convert to fraction form
    303,860/664,928 = 664,928/x
  3. Step 3: Cross multiply
    303,860x = 664,928 × 664,928
  4. Step 4: Simplify right side
    303,860x = 442,129,245,184
  5. Step 5: Solve for x
    x = 442,129,245,184/303,860
  6. Step 6: Final answer
    x = 1,455,042.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.