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Finding the Third Proportional to 76,104 and 121,536

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Solution

The third proportional to 76,104 and 121,536 is: 194,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,104 : 121,536 = 121,536 : x
  2. Step 2: Convert to fraction form
    76,104/121,536 = 121,536/x
  3. Step 3: Cross multiply
    76,104x = 121,536 × 121,536
  4. Step 4: Simplify right side
    76,104x = 14,770,999,296
  5. Step 5: Solve for x
    x = 14,770,999,296/76,104
  6. Step 6: Final answer
    x = 194,089.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.