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Finding the Third Proportional to 65,684 and 136,039

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Solution

The third proportional to 65,684 and 136,039 is: 281,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684 : 136,039 = 136,039 : x
  2. Step 2: Convert to fraction form
    65,684/136,039 = 136,039/x
  3. Step 3: Cross multiply
    65,684x = 136,039 × 136,039
  4. Step 4: Simplify right side
    65,684x = 18,506,609,521
  5. Step 5: Solve for x
    x = 18,506,609,521/65,684
  6. Step 6: Final answer
    x = 281,752.17

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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.