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Finding the Third Proportional to 305,137 and 664,518

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Solution

The third proportional to 305,137 and 664,518 is: 1,447,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,137 : 664,518 = 664,518 : x
  2. Step 2: Convert to fraction form
    305,137/664,518 = 664,518/x
  3. Step 3: Cross multiply
    305,137x = 664,518 × 664,518
  4. Step 4: Simplify right side
    305,137x = 441,584,172,324
  5. Step 5: Solve for x
    x = 441,584,172,324/305,137
  6. Step 6: Final answer
    x = 1,447,166.92

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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.