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Finding the Third Proportional to 76,500 and 114,750

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Solution

The third proportional to 76,500 and 114,750 is: 172,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500 : 114,750 = 114,750 : x
  2. Step 2: Convert to fraction form
    76,500/114,750 = 114,750/x
  3. Step 3: Cross multiply
    76,500x = 114,750 × 114,750
  4. Step 4: Simplify right side
    76,500x = 13,167,562,500
  5. Step 5: Solve for x
    x = 13,167,562,500/76,500
  6. Step 6: Final answer
    x = 172,125

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.