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Finding the Third Proportional to 53,768 and 110,543

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Solution

The third proportional to 53,768 and 110,543 is: 227,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768 : 110,543 = 110,543 : x
  2. Step 2: Convert to fraction form
    53,768/110,543 = 110,543/x
  3. Step 3: Cross multiply
    53,768x = 110,543 × 110,543
  4. Step 4: Simplify right side
    53,768x = 12,219,754,849
  5. Step 5: Solve for x
    x = 12,219,754,849/53,768
  6. Step 6: Final answer
    x = 227,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.