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Finding the Third Proportional to 198,421 and 434,101

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Solution

The third proportional to 198,421 and 434,101 is: 949,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,421 : 434,101 = 434,101 : x
  2. Step 2: Convert to fraction form
    198,421/434,101 = 434,101/x
  3. Step 3: Cross multiply
    198,421x = 434,101 × 434,101
  4. Step 4: Simplify right side
    198,421x = 188,443,678,201
  5. Step 5: Solve for x
    x = 188,443,678,201/198,421
  6. Step 6: Final answer
    x = 949,716.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.