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Finding the Third Proportional to 274,235 and 418,643

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Solution

The third proportional to 274,235 and 418,643 is: 639,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,235 : 418,643 = 418,643 : x
  2. Step 2: Convert to fraction form
    274,235/418,643 = 418,643/x
  3. Step 3: Cross multiply
    274,235x = 418,643 × 418,643
  4. Step 4: Simplify right side
    274,235x = 175,261,961,449
  5. Step 5: Solve for x
    x = 175,261,961,449/274,235
  6. Step 6: Final answer
    x = 639,094.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.