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Finding the Third Proportional to 272,900 and 421,014

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Solution

The third proportional to 272,900 and 421,014 is: 649,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,900 : 421,014 = 421,014 : x
  2. Step 2: Convert to fraction form
    272,900/421,014 = 421,014/x
  3. Step 3: Cross multiply
    272,900x = 421,014 × 421,014
  4. Step 4: Simplify right side
    272,900x = 177,252,788,196
  5. Step 5: Solve for x
    x = 177,252,788,196/272,900
  6. Step 6: Final answer
    x = 649,515.53

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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.