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Finding the Third Proportional to 51,228 and 118,548

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Solution

The third proportional to 51,228 and 118,548 is: 274,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 118,548 = 118,548 : x
  2. Step 2: Convert to fraction form
    51,228/118,548 = 118,548/x
  3. Step 3: Cross multiply
    51,228x = 118,548 × 118,548
  4. Step 4: Simplify right side
    51,228x = 14,053,628,304
  5. Step 5: Solve for x
    x = 14,053,628,304/51,228
  6. Step 6: Final answer
    x = 274,334.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.