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Finding the Third Proportional to 305,666 and 664,036

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Solution

The third proportional to 305,666 and 664,036 is: 1,442,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,666 : 664,036 = 664,036 : x
  2. Step 2: Convert to fraction form
    305,666/664,036 = 664,036/x
  3. Step 3: Cross multiply
    305,666x = 664,036 × 664,036
  4. Step 4: Simplify right side
    305,666x = 440,943,809,296
  5. Step 5: Solve for x
    x = 440,943,809,296/305,666
  6. Step 6: Final answer
    x = 1,442,567.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.