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Finding the Third Proportional to 84,171 and 129,369

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Solution

The third proportional to 84,171 and 129,369 is: 198,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171 : 129,369 = 129,369 : x
  2. Step 2: Convert to fraction form
    84,171/129,369 = 129,369/x
  3. Step 3: Cross multiply
    84,171x = 129,369 × 129,369
  4. Step 4: Simplify right side
    84,171x = 16,736,338,161
  5. Step 5: Solve for x
    x = 16,736,338,161/84,171
  6. Step 6: Final answer
    x = 198,837.34

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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.