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Finding the Third Proportional to 100,613 and 209,506

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Solution

The third proportional to 100,613 and 209,506 is: 436,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613 : 209,506 = 209,506 : x
  2. Step 2: Convert to fraction form
    100,613/209,506 = 209,506/x
  3. Step 3: Cross multiply
    100,613x = 209,506 × 209,506
  4. Step 4: Simplify right side
    100,613x = 43,892,764,036
  5. Step 5: Solve for x
    x = 43,892,764,036/100,613
  6. Step 6: Final answer
    x = 436,253.41

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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.