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Finding the Third Proportional to 61,972 and 135,824

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Solution

The third proportional to 61,972 and 135,824 is: 297,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972 : 135,824 = 135,824 : x
  2. Step 2: Convert to fraction form
    61,972/135,824 = 135,824/x
  3. Step 3: Cross multiply
    61,972x = 135,824 × 135,824
  4. Step 4: Simplify right side
    61,972x = 18,448,158,976
  5. Step 5: Solve for x
    x = 18,448,158,976/61,972
  6. Step 6: Final answer
    x = 297,685.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.