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Finding the Third Proportional to 277,108 and 420,036

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Solution

The third proportional to 277,108 and 420,036 is: 636,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,108 : 420,036 = 420,036 : x
  2. Step 2: Convert to fraction form
    277,108/420,036 = 420,036/x
  3. Step 3: Cross multiply
    277,108x = 420,036 × 420,036
  4. Step 4: Simplify right side
    277,108x = 176,430,241,296
  5. Step 5: Solve for x
    x = 176,430,241,296/277,108
  6. Step 6: Final answer
    x = 636,684.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.