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Finding the Third Proportional to 75,213 and 111,999

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Solution

The third proportional to 75,213 and 111,999 is: 166,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213 : 111,999 = 111,999 : x
  2. Step 2: Convert to fraction form
    75,213/111,999 = 111,999/x
  3. Step 3: Cross multiply
    75,213x = 111,999 × 111,999
  4. Step 4: Simplify right side
    75,213x = 12,543,776,001
  5. Step 5: Solve for x
    x = 12,543,776,001/75,213
  6. Step 6: Final answer
    x = 166,776.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.