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Finding the Third Proportional to 345,948 and 518,922

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Solution

The third proportional to 345,948 and 518,922 is: 778,383

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,948 : 518,922 = 518,922 : x
  2. Step 2: Convert to fraction form
    345,948/518,922 = 518,922/x
  3. Step 3: Cross multiply
    345,948x = 518,922 × 518,922
  4. Step 4: Simplify right side
    345,948x = 269,280,042,084
  5. Step 5: Solve for x
    x = 269,280,042,084/345,948
  6. Step 6: Final answer
    x = 778,383

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.