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Finding the Third Proportional to 198,454 and 407,438

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Solution

The third proportional to 198,454 and 407,438 is: 836,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,454 : 407,438 = 407,438 : x
  2. Step 2: Convert to fraction form
    198,454/407,438 = 407,438/x
  3. Step 3: Cross multiply
    198,454x = 407,438 × 407,438
  4. Step 4: Simplify right side
    198,454x = 166,005,723,844
  5. Step 5: Solve for x
    x = 166,005,723,844/198,454
  6. Step 6: Final answer
    x = 836,494.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.