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Finding the Third Proportional to 65,670 and 136,011

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Solution

The third proportional to 65,670 and 136,011 is: 281,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670 : 136,011 = 136,011 : x
  2. Step 2: Convert to fraction form
    65,670/136,011 = 136,011/x
  3. Step 3: Cross multiply
    65,670x = 136,011 × 136,011
  4. Step 4: Simplify right side
    65,670x = 18,498,992,121
  5. Step 5: Solve for x
    x = 18,498,992,121/65,670
  6. Step 6: Final answer
    x = 281,696.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.