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Finding the Third Proportional to 121,430 and 180,898

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Solution

The third proportional to 121,430 and 180,898 is: 269,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,430 : 180,898 = 180,898 : x
  2. Step 2: Convert to fraction form
    121,430/180,898 = 180,898/x
  3. Step 3: Cross multiply
    121,430x = 180,898 × 180,898
  4. Step 4: Simplify right side
    121,430x = 32,724,086,404
  5. Step 5: Solve for x
    x = 32,724,086,404/121,430
  6. Step 6: Final answer
    x = 269,489.31

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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.