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Finding the Third Proportional to 275,747.63 and 421,555.64

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Solution

The third proportional to 275,747.63 and 421,555.64 is: 644,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.63 : 421,555.64 = 421,555.64 : x
  2. Step 2: Convert to fraction form
    275,747.63/421,555.64 = 421,555.64/x
  3. Step 3: Cross multiply
    275,747.63x = 421,555.64 × 421,555.64
  4. Step 4: Simplify right side
    275,747.63x = 177,709,158,142.75
  5. Step 5: Solve for x
    x = 177,709,158,142.75/275,747.63
  6. Step 6: Final answer
    x = 644,463.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.