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Finding the Third Proportional to 206,803 and 434,473

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Solution

The third proportional to 206,803 and 434,473 is: 912,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803 : 434,473 = 434,473 : x
  2. Step 2: Convert to fraction form
    206,803/434,473 = 434,473/x
  3. Step 3: Cross multiply
    206,803x = 434,473 × 434,473
  4. Step 4: Simplify right side
    206,803x = 188,766,787,729
  5. Step 5: Solve for x
    x = 188,766,787,729/206,803
  6. Step 6: Final answer
    x = 912,785.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.