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Finding the Third Proportional to 86,813 and 115,274.50

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Solution

The third proportional to 86,813 and 115,274.50 is: 153,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,813 : 115,274.50 = 115,274.50 : x
  2. Step 2: Convert to fraction form
    86,813/115,274.50 = 115,274.50/x
  3. Step 3: Cross multiply
    86,813x = 115,274.50 × 115,274.50
  4. Step 4: Simplify right side
    86,813x = 13,288,210,350.25
  5. Step 5: Solve for x
    x = 13,288,210,350.25/86,813
  6. Step 6: Final answer
    x = 153,067.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.