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Finding the Third Proportional to 197,946 and 415,328

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Solution

The third proportional to 197,946 and 415,328 is: 871,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,946 : 415,328 = 415,328 : x
  2. Step 2: Convert to fraction form
    197,946/415,328 = 415,328/x
  3. Step 3: Cross multiply
    197,946x = 415,328 × 415,328
  4. Step 4: Simplify right side
    197,946x = 172,497,347,584
  5. Step 5: Solve for x
    x = 172,497,347,584/197,946
  6. Step 6: Final answer
    x = 871,436.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.