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Finding the Third Proportional to 273,902 and 421,221

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Solution

The third proportional to 273,902 and 421,221 is: 647,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,902 : 421,221 = 421,221 : x
  2. Step 2: Convert to fraction form
    273,902/421,221 = 421,221/x
  3. Step 3: Cross multiply
    273,902x = 421,221 × 421,221
  4. Step 4: Simplify right side
    273,902x = 177,427,130,841
  5. Step 5: Solve for x
    x = 177,427,130,841/273,902
  6. Step 6: Final answer
    x = 647,775.96

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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.