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Finding the Third Proportional to 81,180 and 121,440

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Solution

The third proportional to 81,180 and 121,440 is: 181,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180 : 121,440 = 121,440 : x
  2. Step 2: Convert to fraction form
    81,180/121,440 = 121,440/x
  3. Step 3: Cross multiply
    81,180x = 121,440 × 121,440
  4. Step 4: Simplify right side
    81,180x = 14,747,673,600
  5. Step 5: Solve for x
    x = 14,747,673,600/81,180
  6. Step 6: Final answer
    x = 181,666.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.