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Finding the Third Proportional to 197,172 and 430,380

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Solution

The third proportional to 197,172 and 430,380 is: 939,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,172 : 430,380 = 430,380 : x
  2. Step 2: Convert to fraction form
    197,172/430,380 = 430,380/x
  3. Step 3: Cross multiply
    197,172x = 430,380 × 430,380
  4. Step 4: Simplify right side
    197,172x = 185,226,944,400
  5. Step 5: Solve for x
    x = 185,226,944,400/197,172
  6. Step 6: Final answer
    x = 939,418.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.