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Finding the Third Proportional to 196,380 and 430,992

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Solution

The third proportional to 196,380 and 430,992 is: 945,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,380 : 430,992 = 430,992 : x
  2. Step 2: Convert to fraction form
    196,380/430,992 = 430,992/x
  3. Step 3: Cross multiply
    196,380x = 430,992 × 430,992
  4. Step 4: Simplify right side
    196,380x = 185,754,104,064
  5. Step 5: Solve for x
    x = 185,754,104,064/196,380
  6. Step 6: Final answer
    x = 945,891.15

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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.