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Finding the Third Proportional to 134,804 and 211,449

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Solution

The third proportional to 134,804 and 211,449 is: 331,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,804 : 211,449 = 211,449 : x
  2. Step 2: Convert to fraction form
    134,804/211,449 = 211,449/x
  3. Step 3: Cross multiply
    134,804x = 211,449 × 211,449
  4. Step 4: Simplify right side
    134,804x = 44,710,679,601
  5. Step 5: Solve for x
    x = 44,710,679,601/134,804
  6. Step 6: Final answer
    x = 331,671.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.