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Finding the Third Proportional to 118,490 and 192,505

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Solution

The third proportional to 118,490 and 192,505 is: 312,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,490 : 192,505 = 192,505 : x
  2. Step 2: Convert to fraction form
    118,490/192,505 = 192,505/x
  3. Step 3: Cross multiply
    118,490x = 192,505 × 192,505
  4. Step 4: Simplify right side
    118,490x = 37,058,175,025
  5. Step 5: Solve for x
    x = 37,058,175,025/118,490
  6. Step 6: Final answer
    x = 312,753.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.