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Finding the Third Proportional to 84,690 and 183,969

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Solution

The third proportional to 84,690 and 183,969 is: 399,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,690 : 183,969 = 183,969 : x
  2. Step 2: Convert to fraction form
    84,690/183,969 = 183,969/x
  3. Step 3: Cross multiply
    84,690x = 183,969 × 183,969
  4. Step 4: Simplify right side
    84,690x = 33,844,592,961
  5. Step 5: Solve for x
    x = 33,844,592,961/84,690
  6. Step 6: Final answer
    x = 399,629.15

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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.