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Finding the Third Proportional to 76,780 and 118,450

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Solution

The third proportional to 76,780 and 118,450 is: 182,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780 : 118,450 = 118,450 : x
  2. Step 2: Convert to fraction form
    76,780/118,450 = 118,450/x
  3. Step 3: Cross multiply
    76,780x = 118,450 × 118,450
  4. Step 4: Simplify right side
    76,780x = 14,030,402,500
  5. Step 5: Solve for x
    x = 14,030,402,500/76,780
  6. Step 6: Final answer
    x = 182,735.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.