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Finding the Third Proportional to 135,872 and 277,792

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Solution

The third proportional to 135,872 and 277,792 is: 567,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872 : 277,792 = 277,792 : x
  2. Step 2: Convert to fraction form
    135,872/277,792 = 277,792/x
  3. Step 3: Cross multiply
    135,872x = 277,792 × 277,792
  4. Step 4: Simplify right side
    135,872x = 77,168,395,264
  5. Step 5: Solve for x
    x = 77,168,395,264/135,872
  6. Step 6: Final answer
    x = 567,949.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.