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Finding the Third Proportional to 79,349 and 121,538

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Solution

The third proportional to 79,349 and 121,538 is: 186,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,349 : 121,538 = 121,538 : x
  2. Step 2: Convert to fraction form
    79,349/121,538 = 121,538/x
  3. Step 3: Cross multiply
    79,349x = 121,538 × 121,538
  4. Step 4: Simplify right side
    79,349x = 14,771,485,444
  5. Step 5: Solve for x
    x = 14,771,485,444/79,349
  6. Step 6: Final answer
    x = 186,158.43

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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.