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Finding the Third Proportional to 197,443 and 426,409

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Solution

The third proportional to 197,443 and 426,409 is: 920,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,443 : 426,409 = 426,409 : x
  2. Step 2: Convert to fraction form
    197,443/426,409 = 426,409/x
  3. Step 3: Cross multiply
    197,443x = 426,409 × 426,409
  4. Step 4: Simplify right side
    197,443x = 181,824,635,281
  5. Step 5: Solve for x
    x = 181,824,635,281/197,443
  6. Step 6: Final answer
    x = 920,896.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.