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Finding the Third Proportional to 112,080 and 234,546

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Solution

The third proportional to 112,080 and 234,546 is: 490,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,080 : 234,546 = 234,546 : x
  2. Step 2: Convert to fraction form
    112,080/234,546 = 234,546/x
  3. Step 3: Cross multiply
    112,080x = 234,546 × 234,546
  4. Step 4: Simplify right side
    112,080x = 55,011,826,116
  5. Step 5: Solve for x
    x = 55,011,826,116/112,080
  6. Step 6: Final answer
    x = 490,826.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.