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Finding the Third Proportional to 313,870 and 456,218

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Solution

The third proportional to 313,870 and 456,218 is: 663,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,870 : 456,218 = 456,218 : x
  2. Step 2: Convert to fraction form
    313,870/456,218 = 456,218/x
  3. Step 3: Cross multiply
    313,870x = 456,218 × 456,218
  4. Step 4: Simplify right side
    313,870x = 208,134,863,524
  5. Step 5: Solve for x
    x = 208,134,863,524/313,870
  6. Step 6: Final answer
    x = 663,124.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.