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Finding the Third Proportional to 84,180 and 129,228

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Solution

The third proportional to 84,180 and 129,228 is: 198,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,180 : 129,228 = 129,228 : x
  2. Step 2: Convert to fraction form
    84,180/129,228 = 129,228/x
  3. Step 3: Cross multiply
    84,180x = 129,228 × 129,228
  4. Step 4: Simplify right side
    84,180x = 16,699,875,984
  5. Step 5: Solve for x
    x = 16,699,875,984/84,180
  6. Step 6: Final answer
    x = 198,382.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.