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Finding the Third Proportional to 277,674 and 415,323

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Solution

The third proportional to 277,674 and 415,323 is: 621,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,674 : 415,323 = 415,323 : x
  2. Step 2: Convert to fraction form
    277,674/415,323 = 415,323/x
  3. Step 3: Cross multiply
    277,674x = 415,323 × 415,323
  4. Step 4: Simplify right side
    277,674x = 172,493,194,329
  5. Step 5: Solve for x
    x = 172,493,194,329/277,674
  6. Step 6: Final answer
    x = 621,207.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.