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Finding the Third Proportional to 305,386 and 664,980

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Solution

The third proportional to 305,386 and 664,980 is: 1,447,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,386 : 664,980 = 664,980 : x
  2. Step 2: Convert to fraction form
    305,386/664,980 = 664,980/x
  3. Step 3: Cross multiply
    305,386x = 664,980 × 664,980
  4. Step 4: Simplify right side
    305,386x = 442,198,400,400
  5. Step 5: Solve for x
    x = 442,198,400,400/305,386
  6. Step 6: Final answer
    x = 1,447,998.27

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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.