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Finding the Third Proportional to 218,728 and 312,782

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Solution

The third proportional to 218,728 and 312,782 is: 447,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728 : 312,782 = 312,782 : x
  2. Step 2: Convert to fraction form
    218,728/312,782 = 312,782/x
  3. Step 3: Cross multiply
    218,728x = 312,782 × 312,782
  4. Step 4: Simplify right side
    218,728x = 97,832,579,524
  5. Step 5: Solve for x
    x = 97,832,579,524/218,728
  6. Step 6: Final answer
    x = 447,279.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.