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Finding the Third Proportional to 100,590 and 209,447

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Solution

The third proportional to 100,590 and 209,447 is: 436,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590 : 209,447 = 209,447 : x
  2. Step 2: Convert to fraction form
    100,590/209,447 = 209,447/x
  3. Step 3: Cross multiply
    100,590x = 209,447 × 209,447
  4. Step 4: Simplify right side
    100,590x = 43,868,045,809
  5. Step 5: Solve for x
    x = 43,868,045,809/100,590
  6. Step 6: Final answer
    x = 436,107.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.