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Finding the Third Proportional to 108,114 and 221,565

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Solution

The third proportional to 108,114 and 221,565 is: 454,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,114 : 221,565 = 221,565 : x
  2. Step 2: Convert to fraction form
    108,114/221,565 = 221,565/x
  3. Step 3: Cross multiply
    108,114x = 221,565 × 221,565
  4. Step 4: Simplify right side
    108,114x = 49,091,049,225
  5. Step 5: Solve for x
    x = 49,091,049,225/108,114
  6. Step 6: Final answer
    x = 454,067.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.