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Finding the Third Proportional to 277,674 and 415,322

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Solution

The third proportional to 277,674 and 415,322 is: 621,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,674 : 415,322 = 415,322 : x
  2. Step 2: Convert to fraction form
    277,674/415,322 = 415,322/x
  3. Step 3: Cross multiply
    277,674x = 415,322 × 415,322
  4. Step 4: Simplify right side
    277,674x = 172,492,363,684
  5. Step 5: Solve for x
    x = 172,492,363,684/277,674
  6. Step 6: Final answer
    x = 621,204.59

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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.