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Finding the Third Proportional to 103,046 and 224,844

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Solution

The third proportional to 103,046 and 224,844 is: 490,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046 : 224,844 = 224,844 : x
  2. Step 2: Convert to fraction form
    103,046/224,844 = 224,844/x
  3. Step 3: Cross multiply
    103,046x = 224,844 × 224,844
  4. Step 4: Simplify right side
    103,046x = 50,554,824,336
  5. Step 5: Solve for x
    x = 50,554,824,336/103,046
  6. Step 6: Final answer
    x = 490,604.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.