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Finding the Third Proportional to 143,919 and 305,376

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Solution

The third proportional to 143,919 and 305,376 is: 647,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,919 : 305,376 = 305,376 : x
  2. Step 2: Convert to fraction form
    143,919/305,376 = 305,376/x
  3. Step 3: Cross multiply
    143,919x = 305,376 × 305,376
  4. Step 4: Simplify right side
    143,919x = 93,254,501,376
  5. Step 5: Solve for x
    x = 93,254,501,376/143,919
  6. Step 6: Final answer
    x = 647,965.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.