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Finding the Third Proportional to 275,299 and 609,557

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Solution

The third proportional to 275,299 and 609,557 is: 1,349,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,299 : 609,557 = 609,557 : x
  2. Step 2: Convert to fraction form
    275,299/609,557 = 609,557/x
  3. Step 3: Cross multiply
    275,299x = 609,557 × 609,557
  4. Step 4: Simplify right side
    275,299x = 371,559,736,249
  5. Step 5: Solve for x
    x = 371,559,736,249/275,299
  6. Step 6: Final answer
    x = 1,349,658.87

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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.