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Finding the Third Proportional to 80,860.50 and 115,786.13

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Solution

The third proportional to 80,860.50 and 115,786.13 is: 165,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,860.50 : 115,786.13 = 115,786.13 : x
  2. Step 2: Convert to fraction form
    80,860.50/115,786.13 = 115,786.13/x
  3. Step 3: Cross multiply
    80,860.50x = 115,786.13 × 115,786.13
  4. Step 4: Simplify right side
    80,860.50x = 13,406,426,742.52
  5. Step 5: Solve for x
    x = 13,406,426,742.52/80,860.50
  6. Step 6: Final answer
    x = 165,796.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.