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Finding the Third Proportional to 198,815 and 427,294

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Solution

The third proportional to 198,815 and 427,294 is: 918,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,815 : 427,294 = 427,294 : x
  2. Step 2: Convert to fraction form
    198,815/427,294 = 427,294/x
  3. Step 3: Cross multiply
    198,815x = 427,294 × 427,294
  4. Step 4: Simplify right side
    198,815x = 182,580,162,436
  5. Step 5: Solve for x
    x = 182,580,162,436/198,815
  6. Step 6: Final answer
    x = 918,341.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.