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Finding the Third Proportional to 271,990.41 and 639,788.63

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Solution

The third proportional to 271,990.41 and 639,788.63 is: 1,504,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,990.41 : 639,788.63 = 639,788.63 : x
  2. Step 2: Convert to fraction form
    271,990.41/639,788.63 = 639,788.63/x
  3. Step 3: Cross multiply
    271,990.41x = 639,788.63 × 639,788.63
  4. Step 4: Simplify right side
    271,990.41x = 409,329,484,679.39
  5. Step 5: Solve for x
    x = 409,329,484,679.39/271,990.41
  6. Step 6: Final answer
    x = 1,504,940.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.