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Finding the Third Proportional to 122,988 and 251,736

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Solution

The third proportional to 122,988 and 251,736 is: 515,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,988 : 251,736 = 251,736 : x
  2. Step 2: Convert to fraction form
    122,988/251,736 = 251,736/x
  3. Step 3: Cross multiply
    122,988x = 251,736 × 251,736
  4. Step 4: Simplify right side
    122,988x = 63,371,013,696
  5. Step 5: Solve for x
    x = 63,371,013,696/122,988
  6. Step 6: Final answer
    x = 515,261.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.