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Finding the Third Proportional to 127,724 and 277,828

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Solution

The third proportional to 127,724 and 277,828 is: 604,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,724 : 277,828 = 277,828 : x
  2. Step 2: Convert to fraction form
    127,724/277,828 = 277,828/x
  3. Step 3: Cross multiply
    127,724x = 277,828 × 277,828
  4. Step 4: Simplify right side
    127,724x = 77,188,397,584
  5. Step 5: Solve for x
    x = 77,188,397,584/127,724
  6. Step 6: Final answer
    x = 604,337.46

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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.