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Finding the Third Proportional to 62,720 and 136,640

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Solution

The third proportional to 62,720 and 136,640 is: 297,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,720 : 136,640 = 136,640 : x
  2. Step 2: Convert to fraction form
    62,720/136,640 = 136,640/x
  3. Step 3: Cross multiply
    62,720x = 136,640 × 136,640
  4. Step 4: Simplify right side
    62,720x = 18,670,489,600
  5. Step 5: Solve for x
    x = 18,670,489,600/62,720
  6. Step 6: Final answer
    x = 297,680

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.