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Finding the Third Proportional to 224,720 and 491,420

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Solution

The third proportional to 224,720 and 491,420 is: 1,074,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,720 : 491,420 = 491,420 : x
  2. Step 2: Convert to fraction form
    224,720/491,420 = 491,420/x
  3. Step 3: Cross multiply
    224,720x = 491,420 × 491,420
  4. Step 4: Simplify right side
    224,720x = 241,493,616,400
  5. Step 5: Solve for x
    x = 241,493,616,400/224,720
  6. Step 6: Final answer
    x = 1,074,642.29

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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.