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Finding the Third Proportional to 272,996 and 421,158

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Solution

The third proportional to 272,996 and 421,158 is: 649,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,996 : 421,158 = 421,158 : x
  2. Step 2: Convert to fraction form
    272,996/421,158 = 421,158/x
  3. Step 3: Cross multiply
    272,996x = 421,158 × 421,158
  4. Step 4: Simplify right side
    272,996x = 177,374,060,964
  5. Step 5: Solve for x
    x = 177,374,060,964/272,996
  6. Step 6: Final answer
    x = 649,731.35

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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.