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Finding the Third Proportional to 79,538 and 121,803

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Solution

The third proportional to 79,538 and 121,803 is: 186,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,538 : 121,803 = 121,803 : x
  2. Step 2: Convert to fraction form
    79,538/121,803 = 121,803/x
  3. Step 3: Cross multiply
    79,538x = 121,803 × 121,803
  4. Step 4: Simplify right side
    79,538x = 14,835,970,809
  5. Step 5: Solve for x
    x = 14,835,970,809/79,538
  6. Step 6: Final answer
    x = 186,526.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.