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Finding the Third Proportional to 77,059.50 and 112,923

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Solution

The third proportional to 77,059.50 and 112,923 is: 165,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,059.50 : 112,923 = 112,923 : x
  2. Step 2: Convert to fraction form
    77,059.50/112,923 = 112,923/x
  3. Step 3: Cross multiply
    77,059.50x = 112,923 × 112,923
  4. Step 4: Simplify right side
    77,059.50x = 12,751,603,929
  5. Step 5: Solve for x
    x = 12,751,603,929/77,059.50
  6. Step 6: Final answer
    x = 165,477.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.