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Finding the Third Proportional to 218,822 and 312,914

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Solution

The third proportional to 218,822 and 312,914 is: 447,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,822 : 312,914 = 312,914 : x
  2. Step 2: Convert to fraction form
    218,822/312,914 = 312,914/x
  3. Step 3: Cross multiply
    218,822x = 312,914 × 312,914
  4. Step 4: Simplify right side
    218,822x = 97,915,171,396
  5. Step 5: Solve for x
    x = 97,915,171,396/218,822
  6. Step 6: Final answer
    x = 447,464.93

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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.