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Finding the Third Proportional to 271,441.50 and 399,259.50

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Solution

The third proportional to 271,441.50 and 399,259.50 is: 587,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,441.50 : 399,259.50 = 399,259.50 : x
  2. Step 2: Convert to fraction form
    271,441.50/399,259.50 = 399,259.50/x
  3. Step 3: Cross multiply
    271,441.50x = 399,259.50 × 399,259.50
  4. Step 4: Simplify right side
    271,441.50x = 159,408,148,340.25
  5. Step 5: Solve for x
    x = 159,408,148,340.25/271,441.50
  6. Step 6: Final answer
    x = 587,265.21

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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.