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Finding the Third Proportional to 272,200 and 580,508

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Solution

The third proportional to 272,200 and 580,508 is: 1,238,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200 : 580,508 = 580,508 : x
  2. Step 2: Convert to fraction form
    272,200/580,508 = 580,508/x
  3. Step 3: Cross multiply
    272,200x = 580,508 × 580,508
  4. Step 4: Simplify right side
    272,200x = 336,989,538,064
  5. Step 5: Solve for x
    x = 336,989,538,064/272,200
  6. Step 6: Final answer
    x = 1,238,021.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.