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Finding the Third Proportional to 76,780.13 and 118,450.69

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Solution

The third proportional to 76,780.13 and 118,450.69 is: 182,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780.13 : 118,450.69 = 118,450.69 : x
  2. Step 2: Convert to fraction form
    76,780.13/118,450.69 = 118,450.69/x
  3. Step 3: Cross multiply
    76,780.13x = 118,450.69 × 118,450.69
  4. Step 4: Simplify right side
    76,780.13x = 14,030,565,369.22
  5. Step 5: Solve for x
    x = 14,030,565,369.22/76,780.13
  6. Step 6: Final answer
    x = 182,736.94

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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.