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Finding the Third Proportional to 65,742 and 136,164

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Solution

The third proportional to 65,742 and 136,164 is: 282,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 136,164 = 136,164 : x
  2. Step 2: Convert to fraction form
    65,742/136,164 = 136,164/x
  3. Step 3: Cross multiply
    65,742x = 136,164 × 136,164
  4. Step 4: Simplify right side
    65,742x = 18,540,634,896
  5. Step 5: Solve for x
    x = 18,540,634,896/65,742
  6. Step 6: Final answer
    x = 282,021.16

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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.