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Finding the Third Proportional to 100,838.50 and 219,457

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Solution

The third proportional to 100,838.50 and 219,457 is: 477,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.50 : 219,457 = 219,457 : x
  2. Step 2: Convert to fraction form
    100,838.50/219,457 = 219,457/x
  3. Step 3: Cross multiply
    100,838.50x = 219,457 × 219,457
  4. Step 4: Simplify right side
    100,838.50x = 48,161,374,849
  5. Step 5: Solve for x
    x = 48,161,374,849/100,838.50
  6. Step 6: Final answer
    x = 477,609.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.