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Finding the Third Proportional to 197,243 and 320,456

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Solution

The third proportional to 197,243 and 320,456 is: 520,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,243 : 320,456 = 320,456 : x
  2. Step 2: Convert to fraction form
    197,243/320,456 = 320,456/x
  3. Step 3: Cross multiply
    197,243x = 320,456 × 320,456
  4. Step 4: Simplify right side
    197,243x = 102,692,047,936
  5. Step 5: Solve for x
    x = 102,692,047,936/197,243
  6. Step 6: Final answer
    x = 520,637.22

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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.