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Finding the Third Proportional to 272,900 and 587,272

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Solution

The third proportional to 272,900 and 587,272 is: 1,263,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,900 : 587,272 = 587,272 : x
  2. Step 2: Convert to fraction form
    272,900/587,272 = 587,272/x
  3. Step 3: Cross multiply
    272,900x = 587,272 × 587,272
  4. Step 4: Simplify right side
    272,900x = 344,888,401,984
  5. Step 5: Solve for x
    x = 344,888,401,984/272,900
  6. Step 6: Final answer
    x = 1,263,790.41

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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.