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Finding the Third Proportional to 218,420 and 477,880

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Solution

The third proportional to 218,420 and 477,880 is: 1,045,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,420 : 477,880 = 477,880 : x
  2. Step 2: Convert to fraction form
    218,420/477,880 = 477,880/x
  3. Step 3: Cross multiply
    218,420x = 477,880 × 477,880
  4. Step 4: Simplify right side
    218,420x = 228,369,294,400
  5. Step 5: Solve for x
    x = 228,369,294,400/218,420
  6. Step 6: Final answer
    x = 1,045,551.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.