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Finding the Third Proportional to 77,992.50 and 159,681.75

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Solution

The third proportional to 77,992.50 and 159,681.75 is: 326,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992.50 : 159,681.75 = 159,681.75 : x
  2. Step 2: Convert to fraction form
    77,992.50/159,681.75 = 159,681.75/x
  3. Step 3: Cross multiply
    77,992.50x = 159,681.75 × 159,681.75
  4. Step 4: Simplify right side
    77,992.50x = 25,498,261,283.06
  5. Step 5: Solve for x
    x = 25,498,261,283.06/77,992.50
  6. Step 6: Final answer
    x = 326,932.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.