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Finding the Third Proportional to 277,676 and 415,326

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Solution

The third proportional to 277,676 and 415,326 is: 621,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676 : 415,326 = 415,326 : x
  2. Step 2: Convert to fraction form
    277,676/415,326 = 415,326/x
  3. Step 3: Cross multiply
    277,676x = 415,326 × 415,326
  4. Step 4: Simplify right side
    277,676x = 172,495,686,276
  5. Step 5: Solve for x
    x = 172,495,686,276/277,676
  6. Step 6: Final answer
    x = 621,212.08

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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.