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Finding the Third Proportional to 285,671.18 and 379,222.38

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Solution

The third proportional to 285,671.18 and 379,222.38 is: 503,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,671.18 : 379,222.38 = 379,222.38 : x
  2. Step 2: Convert to fraction form
    285,671.18/379,222.38 = 379,222.38/x
  3. Step 3: Cross multiply
    285,671.18x = 379,222.38 × 379,222.38
  4. Step 4: Simplify right side
    285,671.18x = 143,809,615,625.99
  5. Step 5: Solve for x
    x = 143,809,615,625.99/285,671.18
  6. Step 6: Final answer
    x = 503,409.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.