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Finding the Third Proportional to 79,146 and 122,943

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Solution

The third proportional to 79,146 and 122,943 is: 190,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,146 : 122,943 = 122,943 : x
  2. Step 2: Convert to fraction form
    79,146/122,943 = 122,943/x
  3. Step 3: Cross multiply
    79,146x = 122,943 × 122,943
  4. Step 4: Simplify right side
    79,146x = 15,114,981,249
  5. Step 5: Solve for x
    x = 15,114,981,249/79,146
  6. Step 6: Final answer
    x = 190,975.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.