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Finding the Third Proportional to 77,979.75 and 164,108.25

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Solution

The third proportional to 77,979.75 and 164,108.25 is: 345,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,979.75 : 164,108.25 = 164,108.25 : x
  2. Step 2: Convert to fraction form
    77,979.75/164,108.25 = 164,108.25/x
  3. Step 3: Cross multiply
    77,979.75x = 164,108.25 × 164,108.25
  4. Step 4: Simplify right side
    77,979.75x = 26,931,517,718.06
  5. Step 5: Solve for x
    x = 26,931,517,718.06/77,979.75
  6. Step 6: Final answer
    x = 345,365.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.