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Finding the Third Proportional to 275,265 and 421,124

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Solution

The third proportional to 275,265 and 421,124 is: 644,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,265 : 421,124 = 421,124 : x
  2. Step 2: Convert to fraction form
    275,265/421,124 = 421,124/x
  3. Step 3: Cross multiply
    275,265x = 421,124 × 421,124
  4. Step 4: Simplify right side
    275,265x = 177,345,423,376
  5. Step 5: Solve for x
    x = 177,345,423,376/275,265
  6. Step 6: Final answer
    x = 644,271.61

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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.