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Finding the Third Proportional to 196,100 and 415,312

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Solution

The third proportional to 196,100 and 415,312 is: 879,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,100 : 415,312 = 415,312 : x
  2. Step 2: Convert to fraction form
    196,100/415,312 = 415,312/x
  3. Step 3: Cross multiply
    196,100x = 415,312 × 415,312
  4. Step 4: Simplify right side
    196,100x = 172,484,057,344
  5. Step 5: Solve for x
    x = 172,484,057,344/196,100
  6. Step 6: Final answer
    x = 879,571.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.