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Finding the Third Proportional to 77,760.75 and 163,824

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Solution

The third proportional to 77,760.75 and 163,824 is: 345,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760.75 : 163,824 = 163,824 : x
  2. Step 2: Convert to fraction form
    77,760.75/163,824 = 163,824/x
  3. Step 3: Cross multiply
    77,760.75x = 163,824 × 163,824
  4. Step 4: Simplify right side
    77,760.75x = 26,838,302,976
  5. Step 5: Solve for x
    x = 26,838,302,976/77,760.75
  6. Step 6: Final answer
    x = 345,139.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.