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Finding the Third Proportional to 356,914 and 489,408

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Solution

The third proportional to 356,914 and 489,408 is: 671,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,914 : 489,408 = 489,408 : x
  2. Step 2: Convert to fraction form
    356,914/489,408 = 489,408/x
  3. Step 3: Cross multiply
    356,914x = 489,408 × 489,408
  4. Step 4: Simplify right side
    356,914x = 239,520,190,464
  5. Step 5: Solve for x
    x = 239,520,190,464/356,914
  6. Step 6: Final answer
    x = 671,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.