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Finding the Third Proportional to 77,290.50 and 122,949

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Solution

The third proportional to 77,290.50 and 122,949 is: 195,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,290.50 : 122,949 = 122,949 : x
  2. Step 2: Convert to fraction form
    77,290.50/122,949 = 122,949/x
  3. Step 3: Cross multiply
    77,290.50x = 122,949 × 122,949
  4. Step 4: Simplify right side
    77,290.50x = 15,116,456,601
  5. Step 5: Solve for x
    x = 15,116,456,601/77,290.50
  6. Step 6: Final answer
    x = 195,579.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.