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Finding the Third Proportional to 76,106.50 and 120,505.75

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Solution

The third proportional to 76,106.50 and 120,505.75 is: 190,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.50 : 120,505.75 = 120,505.75 : x
  2. Step 2: Convert to fraction form
    76,106.50/120,505.75 = 120,505.75/x
  3. Step 3: Cross multiply
    76,106.50x = 120,505.75 × 120,505.75
  4. Step 4: Simplify right side
    76,106.50x = 14,521,635,783.06
  5. Step 5: Solve for x
    x = 14,521,635,783.06/76,106.50
  6. Step 6: Final answer
    x = 190,806.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.