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Finding the Third Proportional to 212,839 and 317,413

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Solution

The third proportional to 212,839 and 317,413 is: 473,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,839 : 317,413 = 317,413 : x
  2. Step 2: Convert to fraction form
    212,839/317,413 = 317,413/x
  3. Step 3: Cross multiply
    212,839x = 317,413 × 317,413
  4. Step 4: Simplify right side
    212,839x = 100,751,012,569
  5. Step 5: Solve for x
    x = 100,751,012,569/212,839
  6. Step 6: Final answer
    x = 473,367.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.