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Finding the Third Proportional to 274,140 and 421,908

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Solution

The third proportional to 274,140 and 421,908 is: 649,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,140 : 421,908 = 421,908 : x
  2. Step 2: Convert to fraction form
    274,140/421,908 = 421,908/x
  3. Step 3: Cross multiply
    274,140x = 421,908 × 421,908
  4. Step 4: Simplify right side
    274,140x = 178,006,360,464
  5. Step 5: Solve for x
    x = 178,006,360,464/274,140
  6. Step 6: Final answer
    x = 649,326.48

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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.