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Finding the Third Proportional to 65,904 and 136,416

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Solution

The third proportional to 65,904 and 136,416 is: 282,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904 : 136,416 = 136,416 : x
  2. Step 2: Convert to fraction form
    65,904/136,416 = 136,416/x
  3. Step 3: Cross multiply
    65,904x = 136,416 × 136,416
  4. Step 4: Simplify right side
    65,904x = 18,609,325,056
  5. Step 5: Solve for x
    x = 18,609,325,056/65,904
  6. Step 6: Final answer
    x = 282,370.19

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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.