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Finding the Third Proportional to 271,799 and 399,709.50

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Solution

The third proportional to 271,799 and 399,709.50 is: 587,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,799 : 399,709.50 = 399,709.50 : x
  2. Step 2: Convert to fraction form
    271,799/399,709.50 = 399,709.50/x
  3. Step 3: Cross multiply
    271,799x = 399,709.50 × 399,709.50
  4. Step 4: Simplify right side
    271,799x = 159,767,684,390.25
  5. Step 5: Solve for x
    x = 159,767,684,390.25/271,799
  6. Step 6: Final answer
    x = 587,815.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.