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Finding the Third Proportional to 86,295 and 115,972.50

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Solution

The third proportional to 86,295 and 115,972.50 is: 155,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,295 : 115,972.50 = 115,972.50 : x
  2. Step 2: Convert to fraction form
    86,295/115,972.50 = 115,972.50/x
  3. Step 3: Cross multiply
    86,295x = 115,972.50 × 115,972.50
  4. Step 4: Simplify right side
    86,295x = 13,449,620,756.25
  5. Step 5: Solve for x
    x = 13,449,620,756.25/86,295
  6. Step 6: Final answer
    x = 155,856.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.