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Finding the Third Proportional to 197,253 and 320,468

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Solution

The third proportional to 197,253 and 320,468 is: 520,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,253 : 320,468 = 320,468 : x
  2. Step 2: Convert to fraction form
    197,253/320,468 = 320,468/x
  3. Step 3: Cross multiply
    197,253x = 320,468 × 320,468
  4. Step 4: Simplify right side
    197,253x = 102,699,739,024
  5. Step 5: Solve for x
    x = 102,699,739,024/197,253
  6. Step 6: Final answer
    x = 520,649.82

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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.