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Finding the Third Proportional to 65,702 and 136,071

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Solution

The third proportional to 65,702 and 136,071 is: 281,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702 : 136,071 = 136,071 : x
  2. Step 2: Convert to fraction form
    65,702/136,071 = 136,071/x
  3. Step 3: Cross multiply
    65,702x = 136,071 × 136,071
  4. Step 4: Simplify right side
    65,702x = 18,515,317,041
  5. Step 5: Solve for x
    x = 18,515,317,041/65,702
  6. Step 6: Final answer
    x = 281,807.51

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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.