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Finding the Third Proportional to 76,214.25 and 118,680.75

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Solution

The third proportional to 76,214.25 and 118,680.75 is: 184,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,214.25 : 118,680.75 = 118,680.75 : x
  2. Step 2: Convert to fraction form
    76,214.25/118,680.75 = 118,680.75/x
  3. Step 3: Cross multiply
    76,214.25x = 118,680.75 × 118,680.75
  4. Step 4: Simplify right side
    76,214.25x = 14,085,120,420.56
  5. Step 5: Solve for x
    x = 14,085,120,420.56/76,214.25
  6. Step 6: Final answer
    x = 184,809.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.