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Finding the Third Proportional to 131,539.78 and 192,388.92

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Solution

The third proportional to 131,539.78 and 192,388.92 is: 281,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,539.78 : 192,388.92 = 192,388.92 : x
  2. Step 2: Convert to fraction form
    131,539.78/192,388.92 = 192,388.92/x
  3. Step 3: Cross multiply
    131,539.78x = 192,388.92 × 192,388.92
  4. Step 4: Simplify right side
    131,539.78x = 37,013,497,260.22
  5. Step 5: Solve for x
    x = 37,013,497,260.22/131,539.78
  6. Step 6: Final answer
    x = 281,386.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.