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Finding the Third Proportional to 76,495.50 and 112,380.75

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Solution

The third proportional to 76,495.50 and 112,380.75 is: 165,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.50 : 112,380.75 = 112,380.75 : x
  2. Step 2: Convert to fraction form
    76,495.50/112,380.75 = 112,380.75/x
  3. Step 3: Cross multiply
    76,495.50x = 112,380.75 × 112,380.75
  4. Step 4: Simplify right side
    76,495.50x = 12,629,432,970.56
  5. Step 5: Solve for x
    x = 12,629,432,970.56/76,495.50
  6. Step 6: Final answer
    x = 165,100.34

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Why These Related Problems?

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