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Finding the Third Proportional to 77,798 and 158,449

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Solution

The third proportional to 77,798 and 158,449 is: 322,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798 : 158,449 = 158,449 : x
  2. Step 2: Convert to fraction form
    77,798/158,449 = 158,449/x
  3. Step 3: Cross multiply
    77,798x = 158,449 × 158,449
  4. Step 4: Simplify right side
    77,798x = 25,106,085,601
  5. Step 5: Solve for x
    x = 25,106,085,601/77,798
  6. Step 6: Final answer
    x = 322,708.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.