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Finding the Third Proportional to 61,976 and 133,888

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Solution

The third proportional to 61,976 and 133,888 is: 289,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,976 : 133,888 = 133,888 : x
  2. Step 2: Convert to fraction form
    61,976/133,888 = 133,888/x
  3. Step 3: Cross multiply
    61,976x = 133,888 × 133,888
  4. Step 4: Simplify right side
    61,976x = 17,925,996,544
  5. Step 5: Solve for x
    x = 17,925,996,544/61,976
  6. Step 6: Final answer
    x = 289,240.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.