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Finding the Third Proportional to 275,078 and 418,236

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Solution

The third proportional to 275,078 and 418,236 is: 635,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,078 : 418,236 = 418,236 : x
  2. Step 2: Convert to fraction form
    275,078/418,236 = 418,236/x
  3. Step 3: Cross multiply
    275,078x = 418,236 × 418,236
  4. Step 4: Simplify right side
    275,078x = 174,921,351,696
  5. Step 5: Solve for x
    x = 174,921,351,696/275,078
  6. Step 6: Final answer
    x = 635,897.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.