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Finding the Third Proportional to 281,731 and 626,454

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Solution

The third proportional to 281,731 and 626,454 is: 1,392,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,731 : 626,454 = 626,454 : x
  2. Step 2: Convert to fraction form
    281,731/626,454 = 626,454/x
  3. Step 3: Cross multiply
    281,731x = 626,454 × 626,454
  4. Step 4: Simplify right side
    281,731x = 392,444,614,116
  5. Step 5: Solve for x
    x = 392,444,614,116/281,731
  6. Step 6: Final answer
    x = 1,392,976.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.