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Finding the Third Proportional to 121,431 and 180,900

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Solution

The third proportional to 121,431 and 180,900 is: 269,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,431 : 180,900 = 180,900 : x
  2. Step 2: Convert to fraction form
    121,431/180,900 = 180,900/x
  3. Step 3: Cross multiply
    121,431x = 180,900 × 180,900
  4. Step 4: Simplify right side
    121,431x = 32,724,810,000
  5. Step 5: Solve for x
    x = 32,724,810,000/121,431
  6. Step 6: Final answer
    x = 269,493.05

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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.