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Finding the Third Proportional to 272,898 and 421,011

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Solution

The third proportional to 272,898 and 421,011 is: 649,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898 : 421,011 = 421,011 : x
  2. Step 2: Convert to fraction form
    272,898/421,011 = 421,011/x
  3. Step 3: Cross multiply
    272,898x = 421,011 × 421,011
  4. Step 4: Simplify right side
    272,898x = 177,250,262,121
  5. Step 5: Solve for x
    x = 177,250,262,121/272,898
  6. Step 6: Final answer
    x = 649,511.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.