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Finding the Third Proportional to 305,132 and 664,509

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Solution

The third proportional to 305,132 and 664,509 is: 1,447,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,132 : 664,509 = 664,509 : x
  2. Step 2: Convert to fraction form
    305,132/664,509 = 664,509/x
  3. Step 3: Cross multiply
    305,132x = 664,509 × 664,509
  4. Step 4: Simplify right side
    305,132x = 441,572,211,081
  5. Step 5: Solve for x
    x = 441,572,211,081/305,132
  6. Step 6: Final answer
    x = 1,447,151.43

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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.