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Finding the Third Proportional to 275,311 and 609,580

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Solution

The third proportional to 275,311 and 609,580 is: 1,349,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311 : 609,580 = 609,580 : x
  2. Step 2: Convert to fraction form
    275,311/609,580 = 609,580/x
  3. Step 3: Cross multiply
    275,311x = 609,580 × 609,580
  4. Step 4: Simplify right side
    275,311x = 371,587,776,400
  5. Step 5: Solve for x
    x = 371,587,776,400/275,311
  6. Step 6: Final answer
    x = 1,349,701.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.