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Finding the Third Proportional to 86,462 and 129,694

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Solution

The third proportional to 86,462 and 129,694 is: 194,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,462 : 129,694 = 129,694 : x
  2. Step 2: Convert to fraction form
    86,462/129,694 = 129,694/x
  3. Step 3: Cross multiply
    86,462x = 129,694 × 129,694
  4. Step 4: Simplify right side
    86,462x = 16,820,533,636
  5. Step 5: Solve for x
    x = 16,820,533,636/86,462
  6. Step 6: Final answer
    x = 194,542.50

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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.