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Finding the Third Proportional to 77,984.50 and 118,077

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Solution

The third proportional to 77,984.50 and 118,077 is: 178,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984.50 : 118,077 = 118,077 : x
  2. Step 2: Convert to fraction form
    77,984.50/118,077 = 118,077/x
  3. Step 3: Cross multiply
    77,984.50x = 118,077 × 118,077
  4. Step 4: Simplify right side
    77,984.50x = 13,942,177,929
  5. Step 5: Solve for x
    x = 13,942,177,929/77,984.50
  6. Step 6: Final answer
    x = 178,781.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.