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Finding the Third Proportional to 253,411 and 545,823

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Solution

The third proportional to 253,411 and 545,823 is: 1,175,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,411 : 545,823 = 545,823 : x
  2. Step 2: Convert to fraction form
    253,411/545,823 = 545,823/x
  3. Step 3: Cross multiply
    253,411x = 545,823 × 545,823
  4. Step 4: Simplify right side
    253,411x = 297,922,747,329
  5. Step 5: Solve for x
    x = 297,922,747,329/253,411
  6. Step 6: Final answer
    x = 1,175,650.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.