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Finding the Third Proportional to 84,327 and 133,497

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Solution

The third proportional to 84,327 and 133,497 is: 211,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,327 : 133,497 = 133,497 : x
  2. Step 2: Convert to fraction form
    84,327/133,497 = 133,497/x
  3. Step 3: Cross multiply
    84,327x = 133,497 × 133,497
  4. Step 4: Simplify right side
    84,327x = 17,821,449,009
  5. Step 5: Solve for x
    x = 17,821,449,009/84,327
  6. Step 6: Final answer
    x = 211,337.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.