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Finding the Third Proportional to 78,720 and 169,824

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Solution

The third proportional to 78,720 and 169,824 is: 366,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,720 : 169,824 = 169,824 : x
  2. Step 2: Convert to fraction form
    78,720/169,824 = 169,824/x
  3. Step 3: Cross multiply
    78,720x = 169,824 × 169,824
  4. Step 4: Simplify right side
    78,720x = 28,840,190,976
  5. Step 5: Solve for x
    x = 28,840,190,976/78,720
  6. Step 6: Final answer
    x = 366,364.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.