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Finding the Third Proportional to 272,908 and 587,288

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Solution

The third proportional to 272,908 and 587,288 is: 1,263,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,908 : 587,288 = 587,288 : x
  2. Step 2: Convert to fraction form
    272,908/587,288 = 587,288/x
  3. Step 3: Cross multiply
    272,908x = 587,288 × 587,288
  4. Step 4: Simplify right side
    272,908x = 344,907,194,944
  5. Step 5: Solve for x
    x = 344,907,194,944/272,908
  6. Step 6: Final answer
    x = 1,263,822.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.