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Finding the Third Proportional to 86,212 and 129,420

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Solution

The third proportional to 86,212 and 129,420 is: 194,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,212 : 129,420 = 129,420 : x
  2. Step 2: Convert to fraction form
    86,212/129,420 = 129,420/x
  3. Step 3: Cross multiply
    86,212x = 129,420 × 129,420
  4. Step 4: Simplify right side
    86,212x = 16,749,536,400
  5. Step 5: Solve for x
    x = 16,749,536,400/86,212
  6. Step 6: Final answer
    x = 194,283.12

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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.