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Finding the Third Proportional to 277,285 and 414,079

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Solution

The third proportional to 277,285 and 414,079 is: 618,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,285 : 414,079 = 414,079 : x
  2. Step 2: Convert to fraction form
    277,285/414,079 = 414,079/x
  3. Step 3: Cross multiply
    277,285x = 414,079 × 414,079
  4. Step 4: Simplify right side
    277,285x = 171,461,418,241
  5. Step 5: Solve for x
    x = 171,461,418,241/277,285
  6. Step 6: Final answer
    x = 618,358.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.