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Finding the Third Proportional to 77,985.44 and 159,658.56

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Solution

The third proportional to 77,985.44 and 159,658.56 is: 326,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.44 : 159,658.56 = 159,658.56 : x
  2. Step 2: Convert to fraction form
    77,985.44/159,658.56 = 159,658.56/x
  3. Step 3: Cross multiply
    77,985.44x = 159,658.56 × 159,658.56
  4. Step 4: Simplify right side
    77,985.44x = 25,490,856,579.57
  5. Step 5: Solve for x
    x = 25,490,856,579.57/77,985.44
  6. Step 6: Final answer
    x = 326,866.88

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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.