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Finding the Third Proportional to 277,573.50 and 415,242

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Solution

The third proportional to 277,573.50 and 415,242 is: 621,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,573.50 : 415,242 = 415,242 : x
  2. Step 2: Convert to fraction form
    277,573.50/415,242 = 415,242/x
  3. Step 3: Cross multiply
    277,573.50x = 415,242 × 415,242
  4. Step 4: Simplify right side
    277,573.50x = 172,425,918,564
  5. Step 5: Solve for x
    x = 172,425,918,564/277,573.50
  6. Step 6: Final answer
    x = 621,190.13

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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.