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Finding the Third Proportional to 307,504 and 668,860

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Solution

The third proportional to 307,504 and 668,860 is: 1,454,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,504 : 668,860 = 668,860 : x
  2. Step 2: Convert to fraction form
    307,504/668,860 = 668,860/x
  3. Step 3: Cross multiply
    307,504x = 668,860 × 668,860
  4. Step 4: Simplify right side
    307,504x = 447,373,699,600
  5. Step 5: Solve for x
    x = 447,373,699,600/307,504
  6. Step 6: Final answer
    x = 1,454,854.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.