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Finding the Third Proportional to 269,653 and 399,174

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Solution

The third proportional to 269,653 and 399,174 is: 590,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,653 : 399,174 = 399,174 : x
  2. Step 2: Convert to fraction form
    269,653/399,174 = 399,174/x
  3. Step 3: Cross multiply
    269,653x = 399,174 × 399,174
  4. Step 4: Simplify right side
    269,653x = 159,339,882,276
  5. Step 5: Solve for x
    x = 159,339,882,276/269,653
  6. Step 6: Final answer
    x = 590,907.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.