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Finding the Third Proportional to 77,965.03 and 123,945.19

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Solution

The third proportional to 77,965.03 and 123,945.19 is: 197,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.03 : 123,945.19 = 123,945.19 : x
  2. Step 2: Convert to fraction form
    77,965.03/123,945.19 = 123,945.19/x
  3. Step 3: Cross multiply
    77,965.03x = 123,945.19 × 123,945.19
  4. Step 4: Simplify right side
    77,965.03x = 15,362,409,504.41
  5. Step 5: Solve for x
    x = 15,362,409,504.41/77,965.03
  6. Step 6: Final answer
    x = 197,042.31

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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.