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Finding the Third Proportional to 77,857.88 and 120,290.06

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Solution

The third proportional to 77,857.88 and 120,290.06 is: 185,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.88 : 120,290.06 = 120,290.06 : x
  2. Step 2: Convert to fraction form
    77,857.88/120,290.06 = 120,290.06/x
  3. Step 3: Cross multiply
    77,857.88x = 120,290.06 × 120,290.06
  4. Step 4: Simplify right side
    77,857.88x = 14,469,699,136.25
  5. Step 5: Solve for x
    x = 14,469,699,136.25/77,857.88
  6. Step 6: Final answer
    x = 185,847.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.