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Finding the Third Proportional to 197,292 and 309,166

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Solution

The third proportional to 197,292 and 309,166 is: 484,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,292 : 309,166 = 309,166 : x
  2. Step 2: Convert to fraction form
    197,292/309,166 = 309,166/x
  3. Step 3: Cross multiply
    197,292x = 309,166 × 309,166
  4. Step 4: Simplify right side
    197,292x = 95,583,615,556
  5. Step 5: Solve for x
    x = 95,583,615,556/197,292
  6. Step 6: Final answer
    x = 484,477.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.