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Finding the Third Proportional to 275,506.31 and 421,415.16

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Solution

The third proportional to 275,506.31 and 421,415.16 is: 644,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,506.31 : 421,415.16 = 421,415.16 : x
  2. Step 2: Convert to fraction form
    275,506.31/421,415.16 = 421,415.16/x
  3. Step 3: Cross multiply
    275,506.31x = 421,415.16 × 421,415.16
  4. Step 4: Simplify right side
    275,506.31x = 177,590,733,917.21
  5. Step 5: Solve for x
    x = 177,590,733,917.21/275,506.31
  6. Step 6: Final answer
    x = 644,597.69

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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.