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Finding the Third Proportional to 59,511 and 81,603

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Solution

The third proportional to 59,511 and 81,603 is: 111,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,511 : 81,603 = 81,603 : x
  2. Step 2: Convert to fraction form
    59,511/81,603 = 81,603/x
  3. Step 3: Cross multiply
    59,511x = 81,603 × 81,603
  4. Step 4: Simplify right side
    59,511x = 6,659,049,609
  5. Step 5: Solve for x
    x = 6,659,049,609/59,511
  6. Step 6: Final answer
    x = 111,896.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.