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Finding the Third Proportional to 84,455 and 183,512

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Solution

The third proportional to 84,455 and 183,512 is: 398,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,455 : 183,512 = 183,512 : x
  2. Step 2: Convert to fraction form
    84,455/183,512 = 183,512/x
  3. Step 3: Cross multiply
    84,455x = 183,512 × 183,512
  4. Step 4: Simplify right side
    84,455x = 33,676,654,144
  5. Step 5: Solve for x
    x = 33,676,654,144/84,455
  6. Step 6: Final answer
    x = 398,752.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.