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Finding the Third Proportional to 54,451 and 115,511

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Solution

The third proportional to 54,451 and 115,511 is: 245,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,451 : 115,511 = 115,511 : x
  2. Step 2: Convert to fraction form
    54,451/115,511 = 115,511/x
  3. Step 3: Cross multiply
    54,451x = 115,511 × 115,511
  4. Step 4: Simplify right side
    54,451x = 13,342,791,121
  5. Step 5: Solve for x
    x = 13,342,791,121/54,451
  6. Step 6: Final answer
    x = 245,042.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.