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Finding the Third Proportional to 218,019 and 462,462

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Solution

The third proportional to 218,019 and 462,462 is: 980,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,019 : 462,462 = 462,462 : x
  2. Step 2: Convert to fraction form
    218,019/462,462 = 462,462/x
  3. Step 3: Cross multiply
    218,019x = 462,462 × 462,462
  4. Step 4: Simplify right side
    218,019x = 213,871,101,444
  5. Step 5: Solve for x
    x = 213,871,101,444/218,019
  6. Step 6: Final answer
    x = 980,974.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.