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Finding the Third Proportional to 277,822 and 420,608

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Solution

The third proportional to 277,822 and 420,608 is: 636,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822 : 420,608 = 420,608 : x
  2. Step 2: Convert to fraction form
    277,822/420,608 = 420,608/x
  3. Step 3: Cross multiply
    277,822x = 420,608 × 420,608
  4. Step 4: Simplify right side
    277,822x = 176,911,089,664
  5. Step 5: Solve for x
    x = 176,911,089,664/277,822
  6. Step 6: Final answer
    x = 636,778.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.