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Finding the Third Proportional to 82,654 and 122,764

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Solution

The third proportional to 82,654 and 122,764 is: 182,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654 : 122,764 = 122,764 : x
  2. Step 2: Convert to fraction form
    82,654/122,764 = 122,764/x
  3. Step 3: Cross multiply
    82,654x = 122,764 × 122,764
  4. Step 4: Simplify right side
    82,654x = 15,070,999,696
  5. Step 5: Solve for x
    x = 15,070,999,696/82,654
  6. Step 6: Final answer
    x = 182,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.