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Finding the Third Proportional to 77,192 and 115,462

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Solution

The third proportional to 77,192 and 115,462 is: 172,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,192 : 115,462 = 115,462 : x
  2. Step 2: Convert to fraction form
    77,192/115,462 = 115,462/x
  3. Step 3: Cross multiply
    77,192x = 115,462 × 115,462
  4. Step 4: Simplify right side
    77,192x = 13,331,473,444
  5. Step 5: Solve for x
    x = 13,331,473,444/77,192
  6. Step 6: Final answer
    x = 172,705.38

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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.