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Finding the Third Proportional to 77,985.75 and 159,658.88

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Solution

The third proportional to 77,985.75 and 159,658.88 is: 326,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.75 : 159,658.88 = 159,658.88 : x
  2. Step 2: Convert to fraction form
    77,985.75/159,658.88 = 159,658.88/x
  3. Step 3: Cross multiply
    77,985.75x = 159,658.88 × 159,658.88
  4. Step 4: Simplify right side
    77,985.75x = 25,490,956,366.27
  5. Step 5: Solve for x
    x = 25,490,956,366.27/77,985.75
  6. Step 6: Final answer
    x = 326,866.85

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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.