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Finding the Third Proportional to 197,244 and 320,457

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Solution

The third proportional to 197,244 and 320,457 is: 520,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,244 : 320,457 = 320,457 : x
  2. Step 2: Convert to fraction form
    197,244/320,457 = 320,457/x
  3. Step 3: Cross multiply
    197,244x = 320,457 × 320,457
  4. Step 4: Simplify right side
    197,244x = 102,692,688,849
  5. Step 5: Solve for x
    x = 102,692,688,849/197,244
  6. Step 6: Final answer
    x = 520,637.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.