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Finding the Third Proportional to 80,318 and 121,071

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Solution

The third proportional to 80,318 and 121,071 is: 182,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,318 : 121,071 = 121,071 : x
  2. Step 2: Convert to fraction form
    80,318/121,071 = 121,071/x
  3. Step 3: Cross multiply
    80,318x = 121,071 × 121,071
  4. Step 4: Simplify right side
    80,318x = 14,658,187,041
  5. Step 5: Solve for x
    x = 14,658,187,041/80,318
  6. Step 6: Final answer
    x = 182,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.