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Finding the Third Proportional to 74,538 and 111,511

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Solution

The third proportional to 74,538 and 111,511 is: 166,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538 : 111,511 = 111,511 : x
  2. Step 2: Convert to fraction form
    74,538/111,511 = 111,511/x
  3. Step 3: Cross multiply
    74,538x = 111,511 × 111,511
  4. Step 4: Simplify right side
    74,538x = 12,434,703,121
  5. Step 5: Solve for x
    x = 12,434,703,121/74,538
  6. Step 6: Final answer
    x = 166,823.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.