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Finding the Third Proportional to 206,905 and 278,052

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Solution

The third proportional to 206,905 and 278,052 is: 373,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,905 : 278,052 = 278,052 : x
  2. Step 2: Convert to fraction form
    206,905/278,052 = 278,052/x
  3. Step 3: Cross multiply
    206,905x = 278,052 × 278,052
  4. Step 4: Simplify right side
    206,905x = 77,312,914,704
  5. Step 5: Solve for x
    x = 77,312,914,704/206,905
  6. Step 6: Final answer
    x = 373,663.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.