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Finding the Third Proportional to 117,982 and 255,642

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Solution

The third proportional to 117,982 and 255,642 is: 553,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 255,642 = 255,642 : x
  2. Step 2: Convert to fraction form
    117,982/255,642 = 255,642/x
  3. Step 3: Cross multiply
    117,982x = 255,642 × 255,642
  4. Step 4: Simplify right side
    117,982x = 65,352,832,164
  5. Step 5: Solve for x
    x = 65,352,832,164/117,982
  6. Step 6: Final answer
    x = 553,922.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.