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Finding the Third Proportional to 76,014 and 117,990

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Solution

The third proportional to 76,014 and 117,990 is: 183,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 117,990 = 117,990 : x
  2. Step 2: Convert to fraction form
    76,014/117,990 = 117,990/x
  3. Step 3: Cross multiply
    76,014x = 117,990 × 117,990
  4. Step 4: Simplify right side
    76,014x = 13,921,640,100
  5. Step 5: Solve for x
    x = 13,921,640,100/76,014
  6. Step 6: Final answer
    x = 183,145.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.