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Finding the Third Proportional to 305,870 and 485,849

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Solution

The third proportional to 305,870 and 485,849 is: 771,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870 : 485,849 = 485,849 : x
  2. Step 2: Convert to fraction form
    305,870/485,849 = 485,849/x
  3. Step 3: Cross multiply
    305,870x = 485,849 × 485,849
  4. Step 4: Simplify right side
    305,870x = 236,049,250,801
  5. Step 5: Solve for x
    x = 236,049,250,801/305,870
  6. Step 6: Final answer
    x = 771,730.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.