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Finding the Third Proportional to 218,271 and 469,914

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Solution

The third proportional to 218,271 and 469,914 is: 1,011,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,271 : 469,914 = 469,914 : x
  2. Step 2: Convert to fraction form
    218,271/469,914 = 469,914/x
  3. Step 3: Cross multiply
    218,271x = 469,914 × 469,914
  4. Step 4: Simplify right side
    218,271x = 220,819,167,396
  5. Step 5: Solve for x
    x = 220,819,167,396/218,271
  6. Step 6: Final answer
    x = 1,011,674.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.