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Finding the Third Proportional to 30,155 and 61,121

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Solution

The third proportional to 30,155 and 61,121 is: 123,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155 : 61,121 = 61,121 : x
  2. Step 2: Convert to fraction form
    30,155/61,121 = 61,121/x
  3. Step 3: Cross multiply
    30,155x = 61,121 × 61,121
  4. Step 4: Simplify right side
    30,155x = 3,735,776,641
  5. Step 5: Solve for x
    x = 3,735,776,641/30,155
  6. Step 6: Final answer
    x = 123,885.81

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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.