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Finding the Third Proportional to 99,126 and 206,457

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Solution

The third proportional to 99,126 and 206,457 is: 430,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126 : 206,457 = 206,457 : x
  2. Step 2: Convert to fraction form
    99,126/206,457 = 206,457/x
  3. Step 3: Cross multiply
    99,126x = 206,457 × 206,457
  4. Step 4: Simplify right side
    99,126x = 42,624,492,849
  5. Step 5: Solve for x
    x = 42,624,492,849/99,126
  6. Step 6: Final answer
    x = 430,003.16

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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.