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Finding the Third Proportional to 197,292 and 320,535

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Solution

The third proportional to 197,292 and 320,535 is: 520,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,292 : 320,535 = 320,535 : x
  2. Step 2: Convert to fraction form
    197,292/320,535 = 320,535/x
  3. Step 3: Cross multiply
    197,292x = 320,535 × 320,535
  4. Step 4: Simplify right side
    197,292x = 102,742,686,225
  5. Step 5: Solve for x
    x = 102,742,686,225/197,292
  6. Step 6: Final answer
    x = 520,764.58

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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.