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Finding the Third Proportional to 65,690 and 136,051

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Solution

The third proportional to 65,690 and 136,051 is: 281,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690 : 136,051 = 136,051 : x
  2. Step 2: Convert to fraction form
    65,690/136,051 = 136,051/x
  3. Step 3: Cross multiply
    65,690x = 136,051 × 136,051
  4. Step 4: Simplify right side
    65,690x = 18,509,874,601
  5. Step 5: Solve for x
    x = 18,509,874,601/65,690
  6. Step 6: Final answer
    x = 281,776.14

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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.