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Finding the Third Proportional to 86,204.25 and 129,422.81

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Solution

The third proportional to 86,204.25 and 129,422.81 is: 194,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204.25 : 129,422.81 = 129,422.81 : x
  2. Step 2: Convert to fraction form
    86,204.25/129,422.81 = 129,422.81/x
  3. Step 3: Cross multiply
    86,204.25x = 129,422.81 × 129,422.81
  4. Step 4: Simplify right side
    86,204.25x = 16,750,264,395.41
  5. Step 5: Solve for x
    x = 16,750,264,395.41/86,204.25
  6. Step 6: Final answer
    x = 194,309.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.