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Finding the Third Proportional to 30,166 and 61,143

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Solution

The third proportional to 30,166 and 61,143 is: 123,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166 : 61,143 = 61,143 : x
  2. Step 2: Convert to fraction form
    30,166/61,143 = 61,143/x
  3. Step 3: Cross multiply
    30,166x = 61,143 × 61,143
  4. Step 4: Simplify right side
    30,166x = 3,738,466,449
  5. Step 5: Solve for x
    x = 3,738,466,449/30,166
  6. Step 6: Final answer
    x = 123,929.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.