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Finding the Third Proportional to 100,612 and 209,492

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Solution

The third proportional to 100,612 and 209,492 is: 436,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612 : 209,492 = 209,492 : x
  2. Step 2: Convert to fraction form
    100,612/209,492 = 209,492/x
  3. Step 3: Cross multiply
    100,612x = 209,492 × 209,492
  4. Step 4: Simplify right side
    100,612x = 43,886,898,064
  5. Step 5: Solve for x
    x = 43,886,898,064/100,612
  6. Step 6: Final answer
    x = 436,199.44

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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.