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Finding the Third Proportional to 206,076 and 434,288

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Solution

The third proportional to 206,076 and 434,288 is: 915,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076 : 434,288 = 434,288 : x
  2. Step 2: Convert to fraction form
    206,076/434,288 = 434,288/x
  3. Step 3: Cross multiply
    206,076x = 434,288 × 434,288
  4. Step 4: Simplify right side
    206,076x = 188,606,066,944
  5. Step 5: Solve for x
    x = 188,606,066,944/206,076
  6. Step 6: Final answer
    x = 915,225.78

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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.