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Finding the Third Proportional to 275,300 and 609,559

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Solution

The third proportional to 275,300 and 609,559 is: 1,349,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300 : 609,559 = 609,559 : x
  2. Step 2: Convert to fraction form
    275,300/609,559 = 609,559/x
  3. Step 3: Cross multiply
    275,300x = 609,559 × 609,559
  4. Step 4: Simplify right side
    275,300x = 371,562,174,481
  5. Step 5: Solve for x
    x = 371,562,174,481/275,300
  6. Step 6: Final answer
    x = 1,349,662.82

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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.