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Finding the Third Proportional to 220,558 and 478,457

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Solution

The third proportional to 220,558 and 478,457 is: 1,037,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,558 : 478,457 = 478,457 : x
  2. Step 2: Convert to fraction form
    220,558/478,457 = 478,457/x
  3. Step 3: Cross multiply
    220,558x = 478,457 × 478,457
  4. Step 4: Simplify right side
    220,558x = 228,921,100,849
  5. Step 5: Solve for x
    x = 228,921,100,849/220,558
  6. Step 6: Final answer
    x = 1,037,917.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.