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Finding the Third Proportional to 213,408 and 457,920

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Solution

The third proportional to 213,408 and 457,920 is: 982,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,408 : 457,920 = 457,920 : x
  2. Step 2: Convert to fraction form
    213,408/457,920 = 457,920/x
  3. Step 3: Cross multiply
    213,408x = 457,920 × 457,920
  4. Step 4: Simplify right side
    213,408x = 209,690,726,400
  5. Step 5: Solve for x
    x = 209,690,726,400/213,408
  6. Step 6: Final answer
    x = 982,581.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.