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Finding the Third Proportional to 311,424 and 481,658

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Solution

The third proportional to 311,424 and 481,658 is: 744,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,424 : 481,658 = 481,658 : x
  2. Step 2: Convert to fraction form
    311,424/481,658 = 481,658/x
  3. Step 3: Cross multiply
    311,424x = 481,658 × 481,658
  4. Step 4: Simplify right side
    311,424x = 231,994,428,964
  5. Step 5: Solve for x
    x = 231,994,428,964/311,424
  6. Step 6: Final answer
    x = 744,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.