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Finding the Third Proportional to 206,076 and 434,292

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Solution

The third proportional to 206,076 and 434,292 is: 915,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076 : 434,292 = 434,292 : x
  2. Step 2: Convert to fraction form
    206,076/434,292 = 434,292/x
  3. Step 3: Cross multiply
    206,076x = 434,292 × 434,292
  4. Step 4: Simplify right side
    206,076x = 188,609,541,264
  5. Step 5: Solve for x
    x = 188,609,541,264/206,076
  6. Step 6: Final answer
    x = 915,242.64

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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.