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Finding the Third Proportional to 77,976 and 118,892

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Solution

The third proportional to 77,976 and 118,892 is: 181,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 118,892 = 118,892 : x
  2. Step 2: Convert to fraction form
    77,976/118,892 = 118,892/x
  3. Step 3: Cross multiply
    77,976x = 118,892 × 118,892
  4. Step 4: Simplify right side
    77,976x = 14,135,307,664
  5. Step 5: Solve for x
    x = 14,135,307,664/77,976
  6. Step 6: Final answer
    x = 181,277.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.