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Finding the Third Proportional to 198,146 and 423,172

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Solution

The third proportional to 198,146 and 423,172 is: 903,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,146 : 423,172 = 423,172 : x
  2. Step 2: Convert to fraction form
    198,146/423,172 = 423,172/x
  3. Step 3: Cross multiply
    198,146x = 423,172 × 423,172
  4. Step 4: Simplify right side
    198,146x = 179,074,541,584
  5. Step 5: Solve for x
    x = 179,074,541,584/198,146
  6. Step 6: Final answer
    x = 903,750.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.