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Finding the Third Proportional to 454,408 and 672,838

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Solution

The third proportional to 454,408 and 672,838 is: 996,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,408 : 672,838 = 672,838 : x
  2. Step 2: Convert to fraction form
    454,408/672,838 = 672,838/x
  3. Step 3: Cross multiply
    454,408x = 672,838 × 672,838
  4. Step 4: Simplify right side
    454,408x = 452,710,974,244
  5. Step 5: Solve for x
    x = 452,710,974,244/454,408
  6. Step 6: Final answer
    x = 996,265.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.