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Finding the Third Proportional to 198,665 and 430,333

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Solution

The third proportional to 198,665 and 430,333 is: 932,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,665 : 430,333 = 430,333 : x
  2. Step 2: Convert to fraction form
    198,665/430,333 = 430,333/x
  3. Step 3: Cross multiply
    198,665x = 430,333 × 430,333
  4. Step 4: Simplify right side
    198,665x = 185,186,490,889
  5. Step 5: Solve for x
    x = 185,186,490,889/198,665
  6. Step 6: Final answer
    x = 932,154.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.