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Finding the Third Proportional to 127,764 and 277,920

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Solution

The third proportional to 127,764 and 277,920 is: 604,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,764 : 277,920 = 277,920 : x
  2. Step 2: Convert to fraction form
    127,764/277,920 = 277,920/x
  3. Step 3: Cross multiply
    127,764x = 277,920 × 277,920
  4. Step 4: Simplify right side
    127,764x = 77,239,526,400
  5. Step 5: Solve for x
    x = 77,239,526,400/127,764
  6. Step 6: Final answer
    x = 604,548.44

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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.