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Finding the Third Proportional to 108,478 and 228,620

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Solution

The third proportional to 108,478 and 228,620 is: 481,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,478 : 228,620 = 228,620 : x
  2. Step 2: Convert to fraction form
    108,478/228,620 = 228,620/x
  3. Step 3: Cross multiply
    108,478x = 228,620 × 228,620
  4. Step 4: Simplify right side
    108,478x = 52,267,104,400
  5. Step 5: Solve for x
    x = 52,267,104,400/108,478
  6. Step 6: Final answer
    x = 481,822.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.