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Finding the Third Proportional to 77,721.75 and 160,969.50

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Solution

The third proportional to 77,721.75 and 160,969.50 is: 333,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,721.75 : 160,969.50 = 160,969.50 : x
  2. Step 2: Convert to fraction form
    77,721.75/160,969.50 = 160,969.50/x
  3. Step 3: Cross multiply
    77,721.75x = 160,969.50 × 160,969.50
  4. Step 4: Simplify right side
    77,721.75x = 25,911,179,930.25
  5. Step 5: Solve for x
    x = 25,911,179,930.25/77,721.75
  6. Step 6: Final answer
    x = 333,383.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.