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Finding the Third Proportional to 105,905 and 206,489

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Solution

The third proportional to 105,905 and 206,489 is: 402,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905 : 206,489 = 206,489 : x
  2. Step 2: Convert to fraction form
    105,905/206,489 = 206,489/x
  3. Step 3: Cross multiply
    105,905x = 206,489 × 206,489
  4. Step 4: Simplify right side
    105,905x = 42,637,707,121
  5. Step 5: Solve for x
    x = 42,637,707,121/105,905
  6. Step 6: Final answer
    x = 402,603.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.