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Finding the Third Proportional to 77,991.19 and 159,670.13

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Solution

The third proportional to 77,991.19 and 159,670.13 is: 326,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.19 : 159,670.13 = 159,670.13 : x
  2. Step 2: Convert to fraction form
    77,991.19/159,670.13 = 159,670.13/x
  3. Step 3: Cross multiply
    77,991.19x = 159,670.13 × 159,670.13
  4. Step 4: Simplify right side
    77,991.19x = 25,494,548,817.52
  5. Step 5: Solve for x
    x = 25,494,548,817.52/77,991.19
  6. Step 6: Final answer
    x = 326,890.12

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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.