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Finding the Third Proportional to 277,580 and 415,611

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Solution

The third proportional to 277,580 and 415,611 is: 622,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580 : 415,611 = 415,611 : x
  2. Step 2: Convert to fraction form
    277,580/415,611 = 415,611/x
  3. Step 3: Cross multiply
    277,580x = 415,611 × 415,611
  4. Step 4: Simplify right side
    277,580x = 172,732,503,321
  5. Step 5: Solve for x
    x = 172,732,503,321/277,580
  6. Step 6: Final answer
    x = 622,280.08

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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.